Is 648 an abundant number and what is its abundance?

Is 648 an abundant number?

Here we will explain and calculate if 648 is an abundant number and its abundance if applicable.

648 is an abundant number if the sum of its proper divisors is greater than 648.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 27 + 36 + 54 + 72 + 81 + 108 + 162 + 216 + 324 = 1167.

1167 is greater than 648. Therefore, 648 is an abundant number.

The abundance of 648 is the sum of its proper divisors minus 648. Thus, the abundance of 648 is 1167 - 648 = 519

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