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If we let f(n) denote the sum of all the positive divisors of the integer n, how many integers i exist such that \(1 \le i \le 2010\) and \(f(i) = 1 + \sqrt{i} + i\)?

 Mar 7, 2020
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Since 44^2 = 1936 and 45^2 = 2025, the answer is 44.

 Mar 7, 2020

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