Is 2448 an abundant number and what is its abundance?

Is 2448 an abundant number?

Here we will explain and calculate if 2448 is an abundant number and its abundance if applicable.

2448 is an abundant number if the sum of its proper divisors is greater than 2448.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 17 + 18 + 24 + 34 + 36 + 48 + 51 + 68 + 72 + 102 + 136 + 144 + 153 + 204 + 272 + 306 + 408 + 612 + 816 + 1224 = 4806.

4806 is greater than 2448. Therefore, 2448 is an abundant number.

The abundance of 2448 is the sum of its proper divisors minus 2448. Thus, the abundance of 2448 is 4806 - 2448 = 2358

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