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Jul 2, 2012 at 13:28 comment added vlk @Gerhard: could you comment my own answer in light of yours.
May 20, 2012 at 0:16 comment added Igor Rivin While this is a rather jumpy function, I am guessing there is a nice expression (or at least an asymptotic formula) for the product of all this for $N$ going from $1$ to $M$ (or if you take logs, the sum of logs)
May 19, 2012 at 23:44 history edited Gerhard Paseman CC BY-SA 3.0
Stole from Gjergji, added some TeX; added 2 characters in body; deleted 8 characters in body
May 18, 2012 at 19:44 comment added Gerhard Paseman Nice. If you don't post it as a separate answer, I'll steal it (with attribution). Gerhard "Or Beg Or Borrow Or..." Paseman, 2012.05.18
May 18, 2012 at 19:06 comment added Gjergji Zaimi The expression is $$n^{\phi(n)}\prod_{d|n}\left(\frac{d!}{d^d}\right)^{\mu(n/d)}$$
May 18, 2012 at 18:53 history answered Gerhard Paseman CC BY-SA 3.0