I wrote:
>  How about an example?

Having done the example, I realize an inadequacy of my original spec.  The 
numbers I presented, 4294967296 4096 65536, are round in
hex, but are even "rounder" in binary (according to my original spec).  Yet I 
would prefer to understand them in hex (that is, I
would prefer the output of  roundest  to be 16, not 2).  

I'm not sure how to alter the spec to achieve this goal.  I cannot simply 
change "minimize roundestBase" to "maximize roundestBase",
because any number is simply 10 in its own base.   So maybe the challenge only 
makes sense in the context of a list of numbers,
where one has to compromise between the magnitude of roundestBase and the 
number of values the base makes round.

-Dan 

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