Is 5148 an abundant number and what is its abundance?

Is 5148 an abundant number?

Here we will explain and calculate if 5148 is an abundant number and its abundance if applicable.

5148 is an abundant number if the sum of its proper divisors is greater than 5148.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 9 + 11 + 12 + 13 + 18 + 22 + 26 + 33 + 36 + 39 + 44 + 52 + 66 + 78 + 99 + 117 + 132 + 143 + 156 + 198 + 234 + 286 + 396 + 429 + 468 + 572 + 858 + 1287 + 1716 + 2574 = 10140.

10140 is greater than 5148. Therefore, 5148 is an abundant number.

The abundance of 5148 is the sum of its proper divisors minus 5148. Thus, the abundance of 5148 is 10140 - 5148 = 4992

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