Is 1092 an abundant number and what is its abundance?

Is 1092 an abundant number?

Here we will explain and calculate if 1092 is an abundant number and its abundance if applicable.

1092 is an abundant number if the sum of its proper divisors is greater than 1092.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 12 + 13 + 14 + 21 + 26 + 28 + 39 + 42 + 52 + 78 + 84 + 91 + 156 + 182 + 273 + 364 + 546 = 2044.

2044 is greater than 1092. Therefore, 1092 is an abundant number.

The abundance of 1092 is the sum of its proper divisors minus 1092. Thus, the abundance of 1092 is 2044 - 1092 = 952

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