Question 46
A number is said to be "modern" if, in base 10, it can be expressed by concatenating "a few" decimal writings of $2006$: for example $200620062006$ is modern, while $20200606$ and $2006200$ are not. How many digits does the smallest positive modern perfect square have?
(A) 32
(B) 64
(C) 100
(D) 1000
(E) there is no such number.
(A) 32
(B) 64
(C) 100
(D) 1000
(E) there is no such number.