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Q: How many 2 digit numbers have digits whose sum is a perfect square?
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How many two digit numbers have digits whose sum is a perfect square?

69


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 three digit positive integers are square numbers?

102 = 100 which is the first possible three digit number that is a perfect square. 312 = 961 which is the last possible three digit number that is a perfect square. So there are 22 three digit positive numbers that are perfect squares.


How many 2 digit numbers which are a perfect a square have their last digit as 8?

none


What 5 digit number has Numbers increasing from the left Each digit is different 1st and 5th digits are square numbers 1st and 4th digits are cubed numbers 2nd 3rd digits are even?

12689 14689 12489


What is a 4 digit perfect square and perfect cube?

I am pretty sure you can figure this out on your own. Raise different numbers to the square, until you get a 4-digit result. Similary, calculate the cube of different numbers, until you get a 4-digit number. If you want the SAME number to be both a perfect square and a perfect cube, then it must be a power of 6. In that case, just experiment raising different numbers to the sixth power, until you get a 4-digit number.


What is the least four digit perfect square number whose four digits are all even?

4,624 = 682


How many 1 digit numbers can make with 123 digits?

With 123 digits you can make 123 one-digit numbers.


You are a five digit number your digits increase in size from the left Each digit is different your first and fifth digits are square numbers your first and fourth digits are cubed numbers your 2nd?

There are a lot of possibilities. The second digit can be 2 through 6, the third digit can be 3 through 7 as long as it is larger than the second digit. What we have so far: 1 _ _ 89


How many 5 digits numbers are there whose digits sum to 22?

There are 5460 five digit numbers with a digit sum of 22.


How many different digits can be the units digit of an integer perfect square?

Six: 0, 1, 4, 5, 6 and 9


Biggest number of 6 digit which is perfect square?

1,0002 = 1,000,000 so 1 less is 9992 = 998,001