Question

prove that 496 is a perfect number

Answer 1

496 is a harmonic divisor number, since the number of proper divisors of 496 divided by the sum of the reciprocals of its divisors, 1, 2, 4, 8, 16, 31, 62,124, 248 and 496, (the harmonic mean), yields an integer, 5 in this case.
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Answer 2

Answer:

496 is a perfect number

Step-by-step explanation:

Perfect Number - Any number is said to be perfect number if and only if sum of all of its factors is equal to two times the number

To prove 496 is a perfect number

first let us find the factors of 496

factors of 496 = 1,2,4,8,16,31,62,124,248,496

Sum of factors of 496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 + 496 = 992

Sum of factors of 496 = 992 = 2 X 496

Hence 496 is a perfect number

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