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Maximum and cubic to a T (Posted on 20081009) 

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.

Submitted by K Sengupta

Rating: 3.0000 (2 votes)


Solution:

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The required maximum value of T is 19683.
For an explanation, refer to the respective solutions posted by Daniel in this location and by Dej Mar in this location.

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