4657
This number is a prime.
Kareem Abdul-Jabbar committed 4657 personal fouls during his NBA career.
4657*e (12659.03847+) is the smallest multiple of e for which the first 10 digits are pandigital. Note that 12659 and 3847 are also primes. [Gaydos]
The largest distinct-digit prime that has no digits in common with its cube (100999381393). [Gaydos]
4657 plays an important role in finding the solutions to Archimedes' cattle problem (problema bovinum) since it is a divisor of the number of bulls of any color. [Prisacariu]
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