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It is a factor of 32, which means it is one of 1, 2, 4, 8, 16, and 32. The perfect squares among the factors of 32 are 4 and 16. Of those two, the only one with a sum of digits that is odd is 16.

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Q: What number is a perfect square whose only prime factor is 2 and is a factor of 32 and has a sum of its digits that is odd?
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