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33550336 = 212*8191

So its factors are of the form 2m and 2n*8191 where 0 ≤ m,n ≤ 12.

Their sum is (1 + 8191)*(20 + 21 + 22 + ... + 212) = 8192*(213 - 1)/(2 -1) = 67100672

This includes the factor 33550336 itself, so the sum of the proper factors is 67100672 - 33550336 = 33550336. Therefore the number is perfect.

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11y ago

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