Is 4512 an abundant number and what is its abundance?

Is 4512 an abundant number?

Here we will explain and calculate if 4512 is an abundant number and its abundance if applicable.

4512 is an abundant number if the sum of its proper divisors is greater than 4512.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 47 + 48 + 94 + 96 + 141 + 188 + 282 + 376 + 564 + 752 + 1128 + 1504 + 2256 = 7584.

7584 is greater than 4512. Therefore, 4512 is an abundant number.

The abundance of 4512 is the sum of its proper divisors minus 4512. Thus, the abundance of 4512 is 7584 - 4512 = 3072

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