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Surname Bagin (Bagin , Багин ) , around the globe, is quite a rare family name. The surname Bagin is characteristic of Eastern Europe, particularly Slovakia, where it is quite a common surname, Belarus, where it is quite a rare surname, and Russia, where it is a rare surname. Measured by absolute frequency, the name is most common in Russia, Slovakia, and the United States. Much less frequently, Bagin is the forename as well as the last name.