CF122A Lucky Division

Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number $ n $ is almost lucky.

The single line contains an integer $ n $ $ (1

感谢@隐鬼在侧 提供的翻译

Note that all lucky numbers are almost lucky as any number is evenly divisible by itself. In the first sample $ 47 $ is a lucky number. In the second sample $ 16 $ is divisible by $ 4 $ .