SOLUTION: A series of 33075 consecutive integers has a sum that is a perfect cube. What is the least positive average of this series?

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Question 1204510: A series of 33075 consecutive integers has a sum that is a perfect cube. What is the least positive average of this series?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
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Similar problem was solved at this forum several years ago.

See the link
https://www.algebra.com/algebra/homework/word/numbers/Numbers_Word_Problems.faq.question.1150758.html