[leetcode] problem 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)

Code

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public boolean (int num) {
if (num == 1)
return false;

int sum = 1;

for (int i = 2; i <= num / i; i++) {
if (num % i == 0)
sum += (i == num / i) ? i : i + num / i;
}

return sum == num;
}