829. Consecutive Numbers Sum

Given a positive integer N, how many ways can we write it as a sum of consecutive positive integers?

Example 1:

Input: 
5

Output: 
2

Explanation: 
5 = 5 = 2 + 3

Example 2:

Input: 
9

Output: 
3

Explanation: 
9 = 9 = 4 + 5 = 2 + 3 + 4

Example 3:

Input: 
15

Output: 
4

Explanation: 
15 = 15 = 8 + 7 = 4 + 5 + 6 = 1 + 2 + 3 + 4 + 5

Note:1 <= N <= 10 ^ 9.

class Solution {
    public int consecutiveNumbersSum(int N) {
        int ans = 1;
        for (int i = 2; i * (i + 1) / 2 <= N; i++){
            if ((N - i * (i + 1) / 2) % i == 0) ans++;
        }

        return ans;
    }
}

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