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The population in a town called Atown in December 1900 is a perfect square. In January 1901, 48 people moved in, and the population is 1 more than a perfect square. In February 1901, 48 more people moved in, and the population is a perfect square. Assuming that no one was born, died or moved out during these months, what is the population of Atown in December 1900?