The United States Census Bureau, rebuffing a challenge by the Bloomberg administration, will not change its 2010 population total for New York City, a city official said on Sunday night.

The city had argued last year that at least 50,000 residents of Brooklyn and Queens had been overlooked.

The challenge centered on four neighborhoods — Astoria and Jackson Heights in Queens, and Bay Ridge and Bensonhurst in Brooklyn.

The city said that the census, which placed the city’s total population at less than 8.2 million, had incorrectly concluded that homes and apartments in these areas were vacant.