Question 5
Calculate all possible values of $f(2004)$, where $f: \mathbb{N} \rightarrow \mathbb{N}$ is a function that fulfills: - $f(n m)=f(n) f(m)$ for all natural numbers $m, n$. - $f(n) \leq n^{2}$ for all natural numbers $n$. - $f(1002) \geq 1003969$