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14839152 = 2431953307
BaseRepresentation
bin111000100110…
…110101110000
31000220220111020
4320212311300
512244323102
61250015440
7240062556
oct70466560
930826436
1014839152
118415969
124b77580
1330c7383
141d83bd6
151481bbc
hexe26d70

14839152 has 80 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 4582656.

The previous prime is 14839127. The next prime is 14839177. The reversal of 14839152 is 25193841.

14839152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14839127) and next prime (14839177).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48183 + ... + 48489.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 214839152 is an apocalyptic number.

14839152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14839152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

14839152 is an abundant number, since it is smaller than the sum of its proper divisors (26408208).

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

14839152 is a wasteful number, since it uses less digits than its factorization.

14839152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 14839152 is about 3852.1619903633. The cubic root of 14839152 is about 245.7365147676.

The spelling of 14839152 in words is "fourteen million, eight hundred thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 307 318 424 456 614 636 848 912 921 1007 1228 1272 1842 2014 2456 2544 3021 3684 4028 4912 5833 6042 7368 8056 11666 12084 14736 16112 16271 17499 23332 24168 32542 34998 46664 48336 48813 65084 69996 93328 97626 130168 139992 195252 260336 279984 309149 390504 618298 781008 927447 1236596 1854894 2473192 3709788 4946384 7419576 14839152