Clever Approximation #2

Algebra Level 5

\[\large \left\lfloor \frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{4}} + \cdots + \frac{1}{\sqrt{992016}}\right\rfloor = \, ? \]

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