Is 564 an abundant number and what is its abundance?

Is 564 an abundant number?

Here we will explain and calculate if 564 is an abundant number and its abundance if applicable.

564 is an abundant number if the sum of its proper divisors is greater than 564.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 12 + 47 + 94 + 141 + 188 + 282 = 780.

780 is greater than 564. Therefore, 564 is an abundant number.

The abundance of 564 is the sum of its proper divisors minus 564. Thus, the abundance of 564 is 780 - 564 = 216

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