Is 5664 an abundant number and what is its abundance?

Is 5664 an abundant number?

Here we will explain and calculate if 5664 is an abundant number and its abundance if applicable.

5664 is an abundant number if the sum of its proper divisors is greater than 5664.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 59 + 96 + 118 + 177 + 236 + 354 + 472 + 708 + 944 + 1416 + 1888 + 2832 = 9456.

9456 is greater than 5664. Therefore, 5664 is an abundant number.

The abundance of 5664 is the sum of its proper divisors minus 5664. Thus, the abundance of 5664 is 9456 - 5664 = 3792

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