The largest integer whose square has exactly digits when written in base is 28 in base 9 .
An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z .
Largest base 9 three digit number = 888
And it can be represented as 728 in base 10, largest square is 26^2 26 that is 28 in base 9.
Therefore the largest integer whose square has exactly digits when written in base is 28 in base 9 .
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20867
