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2015-06-20T13:20:04+05:30

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Except the first one, the trend observed is 

24 = 2^4 + sum(2+2+2+2)
93 = 3^4 + sum(3+3+3+3)
272 = 4^4 + sum(4+4+4+4)

According to this, 5555 should give 5^4 + sum(5+5+5+5) = 645
6 4 6