Is 4800 an abundant number and what is its abundance?

Is 4800 an abundant number?

Here we will explain and calculate if 4800 is an abundant number and its abundance if applicable.

4800 is an abundant number if the sum of its proper divisors is greater than 4800.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 25 + 30 + 32 + 40 + 48 + 50 + 60 + 64 + 75 + 80 + 96 + 100 + 120 + 150 + 160 + 192 + 200 + 240 + 300 + 320 + 400 + 480 + 600 + 800 + 960 + 1200 + 1600 + 2400 = 10948.

10948 is greater than 4800. Therefore, 4800 is an abundant number.

The abundance of 4800 is the sum of its proper divisors minus 4800. Thus, the abundance of 4800 is 10948 - 4800 = 6148

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