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Question: Answered & Verified by Expert
The sum of the divisors of 9600 is
MathematicsPermutation CombinationJEE Main
Options:
  • A 3048
  • B 6120
  • C 31620
  • D 24384
Solution:
2067 Upvotes Verified Answer
The correct answer is: 31620
9600=96×100=27×31×52

Number of divisors =8×2×3=48

Sum of divisors =20+21+22+.......+2730+3150+51+52

=28-12-1×32-13-1×53-15-1

=255×82×1244

=31620

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