Is 5440 an abundant number and what is its abundance?

Is 5440 an abundant number?

Here we will explain and calculate if 5440 is an abundant number and its abundance if applicable.

5440 is an abundant number if the sum of its proper divisors is greater than 5440.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 17 + 20 + 32 + 34 + 40 + 64 + 68 + 80 + 85 + 136 + 160 + 170 + 272 + 320 + 340 + 544 + 680 + 1088 + 1360 + 2720 = 8276.

8276 is greater than 5440. Therefore, 5440 is an abundant number.

The abundance of 5440 is the sum of its proper divisors minus 5440. Thus, the abundance of 5440 is 8276 - 5440 = 2836

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