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14952864 = 2532941131
BaseRepresentation
bin111001000010…
…100110100000
31001010200110210
4321002212200
512311442424
61252254120
7241045233
oct71024640
931120423
1014952864
118493343
125011340
133137064
141db341a
1514a5729
hexe429a0

14952864 has 96 divisors (see below), whose sum is σ = 41912640. Its totient is φ = 4659200.

The previous prime is 14952857. The next prime is 14952907. The reversal of 14952864 is 46825941.

It is a tau number, because it is divible by the number of its divisors (96).

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, 114079 + ... + 114209.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 214952864 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 14952864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956320).

14952864 is an abundant number, since it is smaller than the sum of its proper divisors (26959776).

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

14952864 is a wasteful number, since it uses less digits than its factorization.

14952864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 14952864 is about 3866.8933266900. The cubic root of 14952864 is about 246.3626088761.

The spelling of 14952864 in words is "fourteen million, nine hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 41 48 58 82 87 96 116 123 131 164 174 232 246 262 328 348 393 464 492 524 656 696 786 928 984 1048 1189 1312 1392 1572 1968 2096 2378 2784 3144 3567 3799 3936 4192 4756 5371 6288 7134 7598 9512 10742 11397 12576 14268 15196 16113 19024 21484 22794 28536 30392 32226 38048 42968 45588 57072 60784 64452 85936 91176 114144 121568 128904 155759 171872 182352 257808 311518 364704 467277 515616 623036 934554 1246072 1869108 2492144 3738216 4984288 7476432 14952864