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Omni-MATH / For how many integers a(1≤a≤200) is the number a^(a) a square?

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problem

For how many integers a(1≤a≤200)a(1 \leq a \leq 200) is the number aaa^{a} a square?
Plain-text mathematical notation (without MathML)
For how many integers a(1≤a≤200) is the number a^(a) a square?
Original LaTeX notation
For how many integers $a(1 \leq a \leq 200)$ is the number $a^{a}$ a square?

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