56957 (number)
56,957 (fiftysix thousand nine hundred fiftyseven) is an odd fivedigits prime number following 56956 and preceding 56958. In scientific notation, it is written as 5.6957 × 10^{4}. The sum of its digits is 32. It has a total of 1 prime factor and 2 positive divisors. There are 56,956 positive integers (up to 56957) that are relatively prime to 56957.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 32
 Digital Root 5
Name
Short name  56 thousand 957 

Full name  fiftysix thousand nine hundred fiftyseven 
Notation
Scientific notation  5.6957 × 10^{4} 

Engineering notation  56.957 × 10^{3} 
Prime Factorization of 56957
Prime Factorization 56957
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  56957  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  1  Returns:

Λ(n)  Mangoldt function  10.950051876159  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 56,957 is 56957. Since it has a total of 1 prime factor, 56,957 is a prime number.
Divisors of 56957
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  56958  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  28479  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  238.65665714578  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999648864075  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 56,957 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 56,957) is 56,958, the average is 28,479.
Other Arithmetic Functions (n = 56957)
φ(n)  Euler Totient  56956  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  56956  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5767  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 56,956 positive integers (less than 56,957) that are coprime with 56,957. And there are approximately 5,767 prime numbers less than or equal to 56,957.
Divisibility of 56957
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  2  5  5  5  5 
56,957 is not divisible by any number less than or equal to 9.
Classification of 56957
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (56957)
Base  System  Value 

2  Binary  1101111001111101 
3  Ternary  2220010112 
4  Quaternary  31321331 
5  Quinary  3310312 
6  Senary  1115405 
8  Octal  157175 
10  Decimal  56957 
12  Duodecimal  28b65 
16  Hexadecimal  de7d 
20  Vigesimal  727h 
36  Base36  17y5 
Basic calculations (n = 56957)
Multiplication
n×yn×2  113914 

n×3  170871 
n×4  227828 
n×5  284785 
Division
n÷yn÷2  28478.500 

n÷3  18985.666 
n÷4  14239.250 
n÷5  11391.400 
Exponentiation
n^{y}n^{2}  3244099849 

n^{3}  184774195099493 
n^{4}  10524183830281822801 
n^{5}  599425938421361781276557 
Nth Root
^{y}√n^{2}√n  238.65665714578 

^{3}√n  38.475331360755 
^{4}√n  15.448516341247 
^{5}√n  8.9353058200878 
56957 as geometric shapes
Circle
Radius = nDiameter  113914 

Circumference  357871.38554103 
Area  10191640253.13 
Sphere
Radius = nVolume  7.7398033853005E+14 

Surface area  40766561012.521 
Circumference  357871.38554103 
Square
Length = nPerimeter  227828 

Area  3244099849 
Diagonal  80549.361872084 
Cube
Length = nSurface area  19464599094 

Volume  184774195099493 
Space diagonal  98652.417846701 
Equilateral Triangle
Length = nPerimeter  170871 

Area  1404736440.8236 
Altitude  49326.20892335 
Triangular Pyramid
Length = nSurface area  5618945763.2945 

Volume  21775847723856 
Height  46505.1957599 
Cryptographic Hash Functions
md5  0f54cb96bece9d1a664bba2eb760deaa 

sha1  73fb6932ab0f23ee6603f94a0ee248ba6ae37461 
sha256  7ead21b78b19f91f9239e07e8098b8f93b0282c0cfb5c23cdbd69b6e27c0d578 
sha512  a3a1f1174c00ef00c4fd06a8009ea45bb7f30368e7292337fa0c5b9bf96a9ee7cc32e84ec241e1b5ef70ce31bd19448079319eab452bfdf1785399aa60b48972 
ripemd160  d85d9363cf1ef2561e591158bebecc0031b680e7 