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The sum of the digits in '89' is 17, so I don't need to

worry about any perfect square bigger than 16.

1: 10

4: 13, 22, 31, 40

9: 18, 27, 36, 45, 54, 63, 72, 81

16: 79

That's 14 of them .

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Q: How many of the numbers from 10 through 89 have the sum of their digits equal to a perfect square?
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