Is 6400 an abundant number and what is its abundance?

Is 6400 an abundant number?

Here we will explain and calculate if 6400 is an abundant number and its abundance if applicable.

6400 is an abundant number if the sum of its proper divisors is greater than 6400.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 32 + 40 + 50 + 64 + 80 + 100 + 128 + 160 + 200 + 256 + 320 + 400 + 640 + 800 + 1280 + 1600 + 3200 = 9441.

9441 is greater than 6400. Therefore, 6400 is an abundant number.

The abundance of 6400 is the sum of its proper divisors minus 6400. Thus, the abundance of 6400 is 9441 - 6400 = 3041

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