Hypothesis Tests · Superchallenge problem

Test $H_0$: $p = 0.5$ against $H_a$: $p > 0.5$ at $\alpha = 0.05$ ($z^* = 1.645$, null SE $\sqrt{0.25/n}$). How large must $n$ be for the power against $p = 0.6$ to be at least $0.95$? Use the SE $\sqrt{0.24/n}$ under $p = 0.6$ and $z = 1.645$ for the $95\%$ power.