Problems > Abundant Number

Abundant Number

Difficulty: 1000 2000 ms 128 MB

math

A number is abundant if the sum of its proper divisors exceeds it (12: 1+2+3+4+6 = 16 > 12). Is N abundant?

Input: one integer N.

Output: YES or NO.

Constraints:

  • 1 ≤ N ≤ 109

Sample Tests

Input 1
12
Output 1
YES
Input 2
13
Output 2
NO

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