Find analytically the maximum value of a positive base 10 integer T, such that T is equal to the cube of the sum of its digits.

(In reply to sloane by Ady TZIDON)

I don't understand your posting "<A061209" -- is this a hexadecimal or what?? I read the problem as requesting "a positive base 10 integer T", presumably not starting with zero.  There would be no valid seven digit T, since the maximum sum would be 63 (9*7) which has cube only 250047 (less than seven digits). No six digit numbers fit the equation.

Posted by ed bottemiller on 2008-10-09 13:30:14