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Problem 2491. Dudeney Numbers: Numbers which are the cube of their decimal sum

From Wikipedia: A Dudeney number is a positive integer that is a perfect cube such that the sum of its decimal digits is equal to the cube root of the number.

For example:

512=(5+1+2)^3

4913=(4+9+1+3)^3

19683=(1+9+6+8+3)^3

Write a function that returns true if a number is a Dudeney number and false otherwise.

Assume all numbers are of base 10.

If a number is negative, assume that only the leading digit carries the negative sign e.g. -4913 -> (-4+9+1+3)^3

Solve

Solution Stats

74.47% Correct | 25.53% Incorrect
Last Solution submitted on Jan 24, 2020

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a061209 cube dudeney