Is 448 an abundant number and what is its abundance?

Is 448 an abundant number?

Here we will explain and calculate if 448 is an abundant number and its abundance if applicable.

448 is an abundant number if the sum of its proper divisors is greater than 448.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 7 + 8 + 14 + 16 + 28 + 32 + 56 + 64 + 112 + 224 = 568.

568 is greater than 448. Therefore, 448 is an abundant number.

The abundance of 448 is the sum of its proper divisors minus 448. Thus, the abundance of 448 is 568 - 448 = 120

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