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Number = Sum (Digit)*Product (Digit) (Posted on 2010-06-21) Difficulty: 2 of 5
N is a positive base ten integer having at least 2-digits but at most 4-digits, which is obtained by multiplying the sum of its digits with the product of its digits. It is known that N cannot contain any leading zero.

Determine all possible value(s) of N.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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re: No Subject | Comment 8 of 10 |
(In reply to No Subject by ed bottemiller)

The key is in looking for the antecedent of "its" in "its digits".  That's the number N itself.
  Posted by Charlie on 2010-06-21 23:20:08

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