Square Root Smooth Numbers

Problem Statement

A positive integer is called square root smooth if all of its prime factors are strictly less than its square root.
Including the number $1$, there are $29$ square root smooth numbers not exceeding $100$.

How many square root smooth numbers are there not exceeding $5 \times 2^N$?

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mmtg
$g(28)$, $9$ digits 3 weeks, 5 days ago
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$g(26)$, $8$ digits 3 weeks, 5 days ago
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$g(24)$, $8$ digits 3 weeks, 5 days ago