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1729 is my favorite number.

2592 is my second favorite number.

EDIT: Ok, I'll give you the reasons why.

1729 is the object of a famous Srinivasa Ramanujan (a brilliant mathematician) anecdote.
His familiarity with numbers were demonstrated by the following incident. During an illness in England, Hardy visited Ramanujan in the hospital. When Hardy remarked that he had taken taxi number 1729, a singularly unexceptional number, Ramanujan immediately responded that this number was actually quite remarkable: it is the smallest integer that can be represented in two ways by the sum of two cubes: 1729=1^3+12^3=9^3+10^3.

2592 = 2^5*9^2, the only number that is known to have such a property.
 
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