self Maths Puzzle

A popular mathematical pastime:

Use exactly four 4's to form every integer from 0 to 50, using only the operators +, -, x, /, () (brackets) x2 (square), and ! (factorial).

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self Other Question

Using 8 exactly eight times make a 1000.

You can use any mathematical symbols
There is one four-digit whole number n, such that the last four digits of n2 are in fact the original number n.