Is 5472 an abundant number and what is its abundance?

Is 5472 an abundant number?

Here we will explain and calculate if 5472 is an abundant number and its abundance if applicable.

5472 is an abundant number if the sum of its proper divisors is greater than 5472.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 19 + 24 + 32 + 36 + 38 + 48 + 57 + 72 + 76 + 96 + 114 + 144 + 152 + 171 + 228 + 288 + 304 + 342 + 456 + 608 + 684 + 912 + 1368 + 1824 + 2736 = 10908.

10908 is greater than 5472. Therefore, 5472 is an abundant number.

The abundance of 5472 is the sum of its proper divisors minus 5472. Thus, the abundance of 5472 is 10908 - 5472 = 5436

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