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IOQM 2022 P8

Source:

March 8, 2022
floor functionIOQM

Problem Statement

For any real number tt, let ⌊t⌋\lfloor t \rfloor denote the largest integer ≤t\le t. Suppose that NN is the greatest integer such that ⌊⌊⌊N⌋⌋⌋=4\left \lfloor \sqrt{\left \lfloor \sqrt{\left \lfloor \sqrt{N} \right \rfloor}\right \rfloor}\right \rfloor = 4Find the sum of digits of NN.
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