
Here we will explain and calculate if 4752 is an abundant number and its abundance if applicable.
4752 is an abundant number if the sum of its proper divisors is greater than 4752.
The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 11 + 12 + 16 + 18 + 22 + 24 + 27 + 33 + 36 + 44 + 48 + 54 + 66 + 72 + 88 + 99 + 108 + 132 + 144 + 176 + 198 + 216 + 264 + 297 + 396 + 432 + 528 + 594 + 792 + 1188 + 1584 + 2376 = 10128.
10128 is greater than 4752. Therefore, 4752 is an abundant number.
The abundance of 4752 is the sum of its proper divisors minus 4752. Thus, the abundance of 4752 is 10128 - 4752 = 5376
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