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Question

Let N=2016, then the sum of even divisors of N which are not divisible by 16 is

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Solution

2016=25×32×7
For the divisors to be even and not divisible by 16, we should take 2 only three times.
sum of required divisors =(21+22+23)(30+31+32)(70+71)=14×13×8=1456

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