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507. Perfect Number

We define the Perfect Number is a positive integer that is equal to the sum of all its positive divisors except itself.

Now, given an integer n, write a function that returns true when it is a perfect number and false when it is not.Example:

Input: 28 Output:  True  Explanation:  28 = 1 + 2 + 4 + 7 + 14  

Note: The input number n will not exceed 100,000,000. (1e8)

class Solution { public boolean checkPerfectNumber(int num) { if(num == 1) return false; int sum = 0; for(int i=2; i<=Math.sqrt(num);i++){ if(num%i == 0){ sum += i; if(num/i != i) sum += num/i; } } return sum+1 == num; } }

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Original author:Jake Tao,source:"507. Perfect Number"

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