Assignment:
When the accountants for lose-a-digit Computer, Inc. had finished preparing their annual budget, they presented the final figures to the president, I.M. Smart. "It looks like a good year," he exclaimed. "The amount of the budget just happens to be the smallest number of cents (other than one cent) that is a perfect square, a perfect cube, and a perfect fifth power." How much money has Lose-a-digit budgeted for the year?
Provide complete and step by step solution for the question and show calculations and use formulas.