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To find how many two-digit numbers have digits whose sum is a perfect square, we first note that the two-digit numbers range from 10 to 99. The possible sums of the digits (tens digit (a) and units digit (b)) can range from 1 (1+0) to 18 (9+9). The perfect squares within this range are 1, 4, 9, and 16. Analyzing each case, we find the valid combinations for each perfect square, leading to a total of 36 two-digit numbers whose digits sum to a perfect square.
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What is a perfect square if the digits sum is 4?
11 squared is 121
How many numbers 10 through 93 have the sum of their digits equal to a perfect square?
To find how many numbers from 10 to 93 have the sum of their digits equal to a perfect square, we first identify the possible perfect squares within the range of digit sums. The digit sum of a two-digit number ranges from 1 (for 10) to 18 (for 93). The perfect squares in this range are 1, 4, 9, and 16. By calculating the digit sums for each number from 10 to 93, we can determine that the numbers with digit sums equal to these perfect squares are 10-19 (sum = 1, 4, 9), and some others up to 93, yielding a total of 38 numbers.
Difference between square and perfect square?
None, although "perfect square" tends to be used for whole numbers.
What number is a perfect square that is a 3 digits number which ends with 2?
There are none.
How many 2 digit numbers have digits whose sum is a perfect square?
To find the two-digit numbers whose digits sum to a perfect square, we first identify the possible sums of the digits, which range from 1 (1+0) to 18 (9+9). The perfect squares in this range are 1, 4, 9, and 16. The valid two-digit combinations for these sums are: for 4 (14, 23, 32, 41, 50), for 9 (18, 27, 36, 45, 54, 63, 72, 81, 90), and for 16 (79). Counting all valid combinations gives us a total of 20 two-digit numbers.
How many two digit numbers have digits whose sum is a perfect square?
69
How many of the numbers from 10 through 98 have the sum of their digits equal to a perfect and 8203 square?
There are 17 such numbers.
How many numbers from 10 through 100 have the sum of their digits equal to a perfect square?
18
How many numbers from 10 through 84 have the sum of their digits equal to a perfect square?
14
How many numbers from 10 through 95 have the sum of their digits equal to a perfect square?
16 of them.
How many 2 digits numbers are such that the difference of the number and the number with the digits reversed is a perfect square?
If the number with the digits reversed can have a leading 0 so that it is a 1-digit number, then 16. Otherwise 13.
How many numbers from 10 through 97 have the sum of their digits equal to a perfect square?
17 of them. 17 of them. 17 of them. 17 of them.
How many numbers 10 through 87 have the sum of their digits equal to a perfect square?
Numbers whose digits add to a perfect square between 10 and 87 are: 10 = 1 + 0 = 1 = 12 13 = 1 + 3 = 4 = 22 18 = 1 + 8 = 9 = 32 22 = 2 + 2 = 4 = 22 27 = 2 + 7 = 9 = 32 31 = 3 + 1 = 4 = 22 36 = 3 + 6 = 9 = 32 40 = 4 + 0 = 4 = 22 45 = 4 + 5 = 9 = 32 54 = 5 + 4 = 9 = 32 63 = 6 + 3 = 9 = 32 72 = 7 + 2 = 9 = 32 81 = 8 + 1 = 9 = 32 This is a total of 13 numbers.* * * * *And also79 = 7 + 9 = 16 = 42So a total of 14 numbers.
What is the perfect square if the digits sum is 4?
121.
How many of the numbers from 10 to 96 have the sum of their digits equal to a perfect square?
the highest sum of the numbers is 17 and the lowest is 1. The only perfect squares in that range are 1,4,9, and 16. That means the following numbers will work: 10,13.18,22,27,31,36,40,45,54,63,72,79,81,88, and 90; that is 16 numbers
What is the perfect square palindrome of 6 digits?
8362 = 698896
Is 20 a square number or not?
No. Square numbers (or perfect square numbers) are squares of integers. The perfect square numbers are 1, 4, 9, 16, 25, 36 ... 20 is not in the series.
