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14939264 = 27127919
BaseRepresentation
bin111000111111…
…010010000000
31001002222211002
4320333102000
512311024024
61252111132
7240660464
oct70772200
931088732
1014939264
1184840aa
1250054a8
133130b02
141dac4a4
1514a16ae
hexe3f480

14939264 has 32 divisors (see below), whose sum is σ = 30028800. Its totient is φ = 7402752.

The previous prime is 14939251. The next prime is 14939291. The reversal of 14939264 is 46293941.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15797 + ... + 16715.

It is an arithmetic number, because the mean of its divisors is an integer number (938400).

Almost surely, 214939264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014400).

14939264 is an abundant number, since it is smaller than the sum of its proper divisors (15089536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14939264 is an equidigital number, since it uses as much as digits as its factorization.

14939264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1048 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 14939264 is about 3865.1344090471. The cubic root of 14939264 is about 246.2878952563.

The spelling of 14939264 in words is "fourteen million, nine hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 508 919 1016 1838 2032 3676 4064 7352 8128 14704 16256 29408 58816 116713 117632 233426 466852 933704 1867408 3734816 7469632 14939264