Monday, June 27, 2011

464

464 = 24 x 29.

464 has a representation as a sum of two squares: 464 = 82 + 202.

464 is the maximum number of regions into which 22 circles can divide the plane. It is also the maximum number of volumes into which 12 spheres can divide space.

464 is 565 in base 9. It is 252 in base 14.


In chess, 464 is the number of legal positions of the kings, not counting mirrored positions.

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