Question 45
A natural number $n$ is called pleasant if it has the following properties:
- its decimal representation consists of 4 digits;
- the first and the third digits of $n$ are equal;
- the second and the fourth digits of $n$ are equal;
- the product of the digits of $n$ divides $n^{2}$.
Determine all pleasant numbers.
- its decimal representation consists of 4 digits;
- the first and the third digits of $n$ are equal;
- the second and the fourth digits of $n$ are equal;
- the product of the digits of $n$ divides $n^{2}$.
Determine all pleasant numbers.