All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Product Digit Poser (Posted on 2010-06-13) Difficulty: 3 of 5
Determine all possible values of a positive integer N such that the product of the nonzero digits in the base-N representation of 2009 (base ten) is equal to 18 (base ten).

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Excel solution (spoiler) | Comment 3 of 5 |

Well, the obvious solutions are:

base 10         2-0-0-9
base 1000     2-9
base 1991     1-18

Using excel, I also found

base 4    3-3-1-2-1
base 223      9-2

  Posted by Steve Herman on 2010-06-13 15:03:37
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information