Is 1456 an abundant number and what is its abundance?

Is 1456 an abundant number?

Here we will explain and calculate if 1456 is an abundant number and its abundance if applicable.

1456 is an abundant number if the sum of its proper divisors is greater than 1456.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 7 + 8 + 13 + 14 + 16 + 26 + 28 + 52 + 56 + 91 + 104 + 112 + 182 + 208 + 364 + 728 = 2016.

2016 is greater than 1456. Therefore, 1456 is an abundant number.

The abundance of 1456 is the sum of its proper divisors minus 1456. Thus, the abundance of 1456 is 2016 - 1456 = 560

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