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Q: How many positive integers less than 100 have the sum of their digits equal to a perfect square?
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Related questions

Are square roots of positive integers rational?

Only if the integer is a perfect square.


Is zero perfect square?

No. Convention defines perfect squares as squares of positive integers.


How many positive integers have equally many digits in the decimal representation of their square and their cube?

3


Why 8 is not a perfect square?

The number 8 is not a perfect square because it is not classified as the product of two positive integers. The number 8 is classified as a perfect cube, however.


What is it called when it Has integers as its square roots?

a perfect square


What is a number that has integers as its square roots?

It is a perfect square.


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.


What has integers as its square roots?

Such a number is called a "perfect square".


What do you call a number that has integers as its square roots?

Perfect Square


What is a number that has integers at all its square roots?

It is a perfect square.


What has integers as a square root?

perfect squares


Is 1 over 100 a perfect square?

The square root of 1/100 is 1/10 which is a perfect square but perfect square are usually integers.


What is perfect square number?

A perfect square is a number that can be expressed as the product of two equal integers.


Has integers as its square roots?

A perfect square other than 0.


A number that has integers its square roots?

perfect square


Is nine fourths a a perfect square?

No, a perfect square is a number that can be expressed as the product of two equal integers.


What is the link between the product of any four consecutive positive integers and some square numbers?

The product of four consecutive integers is always one less than a perfect square. The product of four consecutive integers starting with n will be one less than the square of n2 + 3n + 1


What are the integers between 0 and 100 whose positive square roots are integers?

MB55


What is the perfect square if the digits sum is 4?

121.


What 2 integers are both a perfect square and a perfect cube?

64. 4x4x4 and 8x8


Find a positive integer such that the integer increased by 1 is a perfect square and one-half of the integers increased by 1 is a perfect square?

0


What is the perfect square number?

A perfect square number is a number that can be expressed as the product of two same common integers. For instance, 16 is a perfect square since it is expressed as 4 x 4. 14 is not the perfect square since it can't be expressed as two common integers. The factors of 14 are 2 and 7.


What is the perfect square palindrome of 6 digits?

8362 = 698896


What are the perfect square integers between 1 and 81 inclusive?

1,4,9,16,25,36,49,64,81


Is 17 a perfect square and why?

No. There are no integers that when multiplied by themselves equal 17.

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