Is 3648 an abundant number and what is its abundance?

Is 3648 an abundant number?

Here we will explain and calculate if 3648 is an abundant number and its abundance if applicable.

3648 is an abundant number if the sum of its proper divisors is greater than 3648.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 19 + 24 + 32 + 38 + 48 + 57 + 64 + 76 + 96 + 114 + 152 + 192 + 228 + 304 + 456 + 608 + 912 + 1216 + 1824 = 6512.

6512 is greater than 3648. Therefore, 3648 is an abundant number.

The abundance of 3648 is the sum of its proper divisors minus 3648. Thus, the abundance of 3648 is 6512 - 3648 = 2864

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