Clever Approximation #2

Algebra Level 5

11+12+13+14++1992016=?\large \left\lfloor \frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}} + \cdots + \frac{1}{\sqrt{992016}}\right\rfloor = \, ?


Notation: \lfloor \cdot \rfloor denotes the floor function.

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