Naughty number
Number Theory
Level
1
Find the smallest 2 or more digit number which has the following properties:
1)Its all the digits are perfect squares.
2)The number itself is a perfect square.
3)The product of the digits of the number is also a perfect square.
The answer is 49.
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1 solution
digits are perfect means it can be 1,,4,9.. so use logic ,, 49 is only 2 digit smallest number