97792 (number)
97,792 (ninetyseven thousand seven hundred ninetytwo) is an even fivedigits composite number following 97791 and preceding 97793. In scientific notation, it is written as 9.7792 × 10^{4}. The sum of its digits is 34. It has a total of 10 prime factors and 20 positive divisors. There are 48,640 positive integers (up to 97792) that are relatively prime to 97792.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 34
 Digital Root 7
Name
Short name  97 thousand 792 

Full name  ninetyseven thousand seven hundred ninetytwo 
Notation
Scientific notation  9.7792 × 10^{4} 

Engineering notation  97.792 × 10^{3} 
Prime Factorization of 97792
Prime Factorization 2^{9} × 191
Composite numberω(n)  Distinct Factors  2  Total number of distinct prime factors 

Ω(n)  Total Factors  10  Total number of prime factors 
rad(n)  Radical  382  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 97,792 is 2^{9} × 191. Since it has a total of 10 prime factors, 97,792 is a composite number.
Divisors of 97792
20 divisors
τ(n)  Total Divisors  20  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  196416  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  98624  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  9820.8  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  312.71712457107  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  9.9576409253829  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 97,792 can be divided by 20 positive divisors (out of which 18 are even, and 2 are odd). The sum of these divisors (counting 97,792) is 196,416, the average is 982,0.8.
Other Arithmetic Functions (n = 97792)
φ(n)  Euler Totient  48640  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  24320  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9390  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 48,640 positive integers (less than 97,792) that are coprime with 97,792. And there are approximately 9,390 prime numbers less than or equal to 97,792.
Divisibility of 97792
m  2  3  4  5  6  7  8  9 

n mod m  0  1  0  2  4  2  0  7 
The number 97,792 is divisible by 2, 4 and 8.
Classification of 97792
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
 Nonhypotenuse
Other numbers
 Frugal
Base conversion (97792)
Base  System  Value 

2  Binary  10111111000000000 
3  Ternary  11222010221 
4  Quaternary  113320000 
5  Quinary  11112132 
6  Senary  2032424 
8  Octal  277000 
10  Decimal  97792 
12  Duodecimal  48714 
16  Hexadecimal  17e00 
20  Vigesimal  c49c 
36  Base36  23gg 
Basic calculations (n = 97792)
Multiplication
n×yn×2  195584 

n×3  293376 
n×4  391168 
n×5  488960 
Division
n÷yn÷2  48896.000 

n÷3  32597.333 
n÷4  24448.000 
n÷5  19558.400 
Exponentiation
n^{y}n^{2}  9563275264 

n^{3}  935211814617088 
n^{4}  91456233775034269696 
n^{5}  8943688013328151302111232 
Nth Root
^{y}√n^{2}√n  312.71712457107 

^{3}√n  46.071721763939 
^{4}√n  17.683809673571 
^{5}√n  9.9554447306548 
97792 as geometric shapes
Circle
Radius = nDiameter  195584 

Circumference  614445.25755971 
Area  30043915313.639 
Sphere
Radius = nVolume  3.9174060884686E+15 

Surface area  120175661254.56 
Circumference  614445.25755971 
Square
Length = nPerimeter  391168 

Area  9563275264 
Diagonal  138298.77269159 
Cube
Length = nSurface area  57379651584 

Volume  935211814617088 
Space diagonal  169380.71257378 
Equilateral Triangle
Length = nPerimeter  293376 

Area  4141019661.0037 
Altitude  84690.356286888 
Triangular Pyramid
Length = nSurface area  16564078644.015 

Volume  1.1021576932692E+14 
Height  79846.833642084 
Cryptographic Hash Functions
md5  6d3e7039b8ebeef9f97a2016d1cac590 

sha1  c71f1aec175d64e99fac8078108bb9da00ed0ca1 
sha256  fade488f129d9cfa3380b5e35f7a0322b83ae70de0d1a7fab3e24c8e8c2c09bc 
sha512  fad5053216cf603538a1273497c0fcef65a322ff5888d4b3f46b0616938c400eb78100807dabd5bee7b31b3dbeda7a14bfb7d08e7f8b9a8c86a7fa8cc454ba1d 
ripemd160  a17e6ff1b112f836d00ff9a474f01940af4507a4 