Problem
2022 Pascal Problem 24
A *Pretti number* is a seven-digit positive integer with the following properties:
- The integer formed by its leftmost three digits is a perfect square. - The integer formed by its rightmost four digits is a perfect cube. - Its ten thousands digit and ones (units) digit are equal. - Its thousands digit is not zero.
How many Pretti numbers are there?
If there are no answer choices shown, enter a numerical answer.
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