Geodesic
Number of divisors of the central binomial coefficient
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2013), pp. 34-38

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Asymptotic formulas are derived for the following expressions: $\log\tau\left(C_{2n}^{n}\right)$ and $\log \tau\bigl([1,\ldots,n]\bigr)$. 
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     author = {G. V. Fedorov},
     title = {Number of divisors of the central binomial coefficient},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {34--38},
     publisher = {mathdoc},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2013_4_a6/}
}
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G. V. Fedorov. Number of divisors of the central binomial coefficient. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2013), pp. 34-38. http://geodesic.mathdoc.fr/item/VMUMM_2013_4_a6/