Q: What is the sum of all factors of the number 38,400 excluding 38,400?

A: 88,452

Why is 88,452 the sum of all factors of 38,400, excluding 38,400?

The factors of the number 38,400 are: 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, 128, 150, 160, 192, 200, 240, 256, 300, 320, 384, 400, 480, 512, 600, 640, 768, 800, 960, 1200, 1280, 1536, 1600, 1920, 2400, 2560, 3200, 3840, 4800, 6400, 7680, 9600, 12800, 19200, 38400.

If you add them up, you will get the total of 38,488. Now subtract 38,400 to get 88,452