# Special 4-Digit Square

Number Theory Level 3

A four digit integer $$\overline{abcd}$$ satisfies the equation $\left(\overline{abcd}\right)^2=\overline{wxyzabcd}$ where $$a,b,c,d,w,x,y,z$$ are not necessarily distinct digits and $$a\ne 0,w\ne 0$$. What is the value of $$\overline{wxyz}$$?

×