Wednesday, January 22, 2014

8080

8080 = 2 x 2 x 2 x 2 x 5 x 101.

8080 has a square root that has four 8s immediately after the decimal point.

8080 is the number of points on the surface of a four-dimensional 10 x 10 x 10 x 10 cube (A008511).

8080 is a number n such that n plus the factorial of the largest digit of n is a square (A095927): 8080 + 8! = 48400 = 2202.

8080 has two representations as a sum of two squares: 8080 = 322 + 842 = 482 + 762.  8080 is the smallest member of a triple of consecutive numbers each of which is the sum of two nonzero squares (A064715 and A073412).

8080 divides 914 - 1. 8080 is the difference of two positive fourth powers (A147857).


Source: What's Special About This Number?

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