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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

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16 of them.

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Q: How many of the numbers from 10 to 96 have the sum of their digits equal to a perfect square?
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