Is 4950 an abundant number and what is its abundance?

Is 4950 an abundant number?

Here we will explain and calculate if 4950 is an abundant number and its abundance if applicable.

4950 is an abundant number if the sum of its proper divisors is greater than 4950.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 11 + 15 + 18 + 22 + 25 + 30 + 33 + 45 + 50 + 55 + 66 + 75 + 90 + 99 + 110 + 150 + 165 + 198 + 225 + 275 + 330 + 450 + 495 + 550 + 825 + 990 + 1650 + 2475 = 9558.

9558 is greater than 4950. Therefore, 4950 is an abundant number.

The abundance of 4950 is the sum of its proper divisors minus 4950. Thus, the abundance of 4950 is 9558 - 4950 = 4608

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