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Positive Integer and Power Puzzle (Posted on 2015-08-10) Difficulty: 3 of 5
N is a 6-digit positive integer whose sum of digits is 43.
Determine N, given that precisely one of the following statements is false:
  1. N is a perfect square
  2. N is a perfect cube
  3. N < 500000

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
The required value of N is 499849.

For an explanation, refer to the computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutioncomputer solutionLarry2020-07-06 07:12:55
Solutioncomputer solutionCharlie2015-08-10 19:23:20
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