Is 4992 an abundant number and what is its abundance?

Is 4992 an abundant number?

Here we will explain and calculate if 4992 is an abundant number and its abundance if applicable.

4992 is an abundant number if the sum of its proper divisors is greater than 4992.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 13 + 16 + 24 + 26 + 32 + 39 + 48 + 52 + 64 + 78 + 96 + 104 + 128 + 156 + 192 + 208 + 312 + 384 + 416 + 624 + 832 + 1248 + 1664 + 2496 = 9288.

9288 is greater than 4992. Therefore, 4992 is an abundant number.

The abundance of 4992 is the sum of its proper divisors minus 4992. Thus, the abundance of 4992 is 9288 - 4992 = 4296

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