26. Find the largest integer $n$ such that $n^{6021}<2007^{2007}$.
26. Ans: 12 .
We need the maximal $n$ such that $\left(n^{3}\right)^{2007}<2007^{2007}$. We need $n^{3}<2007$. By calculation $12^{3}=1728<2007<2197=13^{3}$. The result follows.