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The number of proper divisors of 2520, is

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The number of proper divisors of 2520, is
A. 46
B. 52
C. 64
D. none of these
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We have,
`2520=2^(3)xx3^(2)xx5^(1)xx7^(1)`
`:.` Total number of divisors of 2520
`=(3+1)(2+1)(1+1)(1+1)=48`
These divisors include 1 and the number itself as divisors.
Hence, required number of proper divisors =48o-2=46.
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