Friedman Numbers

A Friedman Number, named after mathematics professor Erich Friedman, is a number in which the digits can be used to create a mathematical expression that equals that number.

For example: $1827=21\times87 \;$ or $\; 5776=76^{7-5} \;$ or $\; 13496=4\times\left(\left(6+9\right)^3-1\right) \;$

The operations that can be used are:

• Adding $+$, Subtracting $-$, Multiplying $\times$, Dividing $\div$
• Negative of a number $-$
• Parenthesis $\left(\square\right)$
• Making numbers exponents $\square^{\square}$
• Joining numbers together