Tuesday, July 16, 2013

1578

1578 = 2 x 3 x 263.

1578 is the number of Hamiltonian paths of a 3 x 8 rectangle graph (A003685).

1578 is the sum of the first 45 composite numbers (A053767).

The product of the digits of the cube of 1578 is also a cube (A067071): 15783 = 3,929,352,552; 3 x 9 x 2 x 9 x 3 x 5 x 2 x 5 x 5 x 2 = 729,000 = 903.


Source: What's Special About This Number?

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