496
An integer is a perfect number if it is equal to the sum of its positive divisors - not including itself.
496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248.
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496.
500
There is only one Perfect Number within this range : 496. If 2ⁿ - 1 is prime then 2ⁿ⁻¹(2ⁿ - 1) is a perfect number. In this instance n = 5 then, 2⁴(2⁵ - 1) = 16 x 31 = 496...........and 31 is a prime number.
-50
(500 + 800) / 2 = 650 Therefore, the number that falls in between 500 and 800 is 650.