Is 5376 an abundant number and what is its abundance?

Is 5376 an abundant number?

Here we will explain and calculate if 5376 is an abundant number and its abundance if applicable.

5376 is an abundant number if the sum of its proper divisors is greater than 5376.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 12 + 14 + 16 + 21 + 24 + 28 + 32 + 42 + 48 + 56 + 64 + 84 + 96 + 112 + 128 + 168 + 192 + 224 + 256 + 336 + 384 + 448 + 672 + 768 + 896 + 1344 + 1792 + 2688 = 10976.

10976 is greater than 5376. Therefore, 5376 is an abundant number.

The abundance of 5376 is the sum of its proper divisors minus 5376. Thus, the abundance of 5376 is 10976 - 5376 = 5600

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