# Product-perfect Numbers

A number, greater than or equal to 2, is called product-perfect if it is equal to the product of all of its proper divisors. For example, $$6 = 1 \times 2 \times 3$$, hence $$6$$ is product perfect. How many product-perfect numbers are there below $$50$$?

Details and assumptions

A proper divisor of a number $$N$$ is a positive integer less than $$N$$ that divides $$N$$.

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