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Consider the number N=2016.Find the Sum ...

Consider the number `N=2016`.Find the Sum of the even divivisors of the number N.

A

6552

B

6448

C

6048

D

5733

Text Solution

Verified by Experts

The correct Answer is:
B
`because N=2016=2^(5)*3^(2)*7^(1)`
`therefore`Sum of all even divisors of the number of N
`=(2+2^(2)+2^(3)+2^(4)+2^(5))(1+3+3^(2))(1+7^(1))=6448`.
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