DIVSUM  Divisor Summation
Given a natural number n (1 <= n <= 500000), please output the summation of all its proper divisors.
Definition: A proper divisor of a natural number is the divisor that is strictly less than the number.
e.g. number 20 has 5 proper divisors: 1, 2, 4, 5, 10, and the divisor summation is: 1 + 2 + 4 + 5 + 10 = 22.
Input
An integer stating the number of test cases (equal to about 200000), and that many lines follow, each containing one integer between 1 and 500000 inclusive.
Output
One integer each line: the divisor summation of the integer given respectively.
Example
Sample Input: 3 2 10 20 Sample Output: 1 8 22
Warning: large Input/Output data, be careful with certain languages
hide comments
sonushahuji4:
20200420 17:42:11
When I submit code in python3 for this problem, I get TLE but same logic when I write in cpp, it accepts. Why is this so? Last edit: 20200420 18:51:41 

sanjeev30798:
20200121 17:26:26
for n=1 output is 0 

trungvt:
20190808 12:24:56
corner case: n = 1 

sanket17:
20190802 15:17:47
same solution in c++ give wrong answer and in c it is Ac


lamphong25:
20190727 13:54:01
did anyone know name of file input output please tell me 

sid779:
20190702 06:11:34
Try DIVSUM2 :) 

emina652:
20190421 19:56:37
if the number is 1 , the output must be 0.


saurav_2233:
20190415 08:19:39
it was an easy but remember answer of 1 is 0 always.


scolar_fuad:
20190413 09:56:13
AC in one shot use i*i<=num to avoid time isssue in this problem 

midoriya:
20190315 15:08:14
TOO easy, time limit should have been less 
Added by:  Neal Zane 
Date:  20040610 
Time limit:  3s 
Source limit:  5000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All 
Resource:  Neal Zane 