Is 4032 an abundant number and what is its abundance?

Is 4032 an abundant number?

Here we will explain and calculate if 4032 is an abundant number and its abundance if applicable.

4032 is an abundant number if the sum of its proper divisors is greater than 4032.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 14 + 16 + 18 + 21 + 24 + 28 + 32 + 36 + 42 + 48 + 56 + 63 + 64 + 72 + 84 + 96 + 112 + 126 + 144 + 168 + 192 + 224 + 252 + 288 + 336 + 448 + 504 + 576 + 672 + 1008 + 1344 + 2016 = 9176.

9176 is greater than 4032. Therefore, 4032 is an abundant number.

The abundance of 4032 is the sum of its proper divisors minus 4032. Thus, the abundance of 4032 is 9176 - 4032 = 5144

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