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Question

Number of divisors of n=38808 except 1 and n is

A
70
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B
68
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C
72
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D
74
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Solution

The correct option is A 70
38808=8×9×49×11
=23×32×72×111
Number of divisors =(3+1)(2+1)(2+1)(1+1)
=4×3×3×2
=72
Number of divisors except 1 and n=
= Number of divisors except 1 and 38808
=722=70

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