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Perfect Number

A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself.

A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. A divisor of an integer x is an integer that can divide x evenly.

Given an integer n, return true if n is a perfect number, otherwise return false.

Example 1

Input: num = 28

Output: true

Explanation: 28 = 1 + 2 + 4 + 7 + 14 1, 2, 4, 7, and 14 are all divisors of 28.

Example 2

Input: num = 7

Output: false

Constraints

  • 1 <= num <= 10^8

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