The flames broke out on the 47th floor of the 52-story building at Central Park South and Columbus Circle East just before 4:30 a.m.
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The fire was confined to the apartment and quickly extinguished. One person sustained a minor injury but declined treatment.
No evacuations were reported.
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Fire marshals said the fire was spontaneous combustion as a result of improper disposal of work byproducts.
The apartment where the fire broke out was sold last year for $6.9 million and boasts Central Park views.