Mathematica competitions in Croatia

Every athlete will change his position as many times as the number on his shirt has divisors. Hence, at the end in the position of crouch will be those athletes whose shirt numbers have an odd number of divisors. All divisors of the number $n$ can be grouped into two element sets $\{d,\frac{n}{d}\}$, unless $n=d^2$ for some positive integer $d$ when $\frac{n}{d}=d$. That means that a positive integer has an odd number of divisors if and only if it is a square of an integer. Among numbers $1,\dots ,2014$ the squares are $1^2,2^2,\dots ,44^2$ (because $44^2=1936$ and $45^2=2025$). At the end, there are $44$ athletes crouching.