Is 5632 an abundant number and what is its abundance?

Is 5632 an abundant number?

Here we will explain and calculate if 5632 is an abundant number and its abundance if applicable.

5632 is an abundant number if the sum of its proper divisors is greater than 5632.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 8 + 11 + 16 + 22 + 32 + 44 + 64 + 88 + 128 + 176 + 256 + 352 + 512 + 704 + 1408 + 2816 = 6644.

6644 is greater than 5632. Therefore, 5632 is an abundant number.

The abundance of 5632 is the sum of its proper divisors minus 5632. Thus, the abundance of 5632 is 6644 - 5632 = 1012

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