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12855456 = 253314879
BaseRepresentation
bin110001000010…
…100010100000
3220012010101000
4301002202200
511242333311
61135312000
7214161315
oct61024240
926163330
1012855456
117290549
12437b600
1328814a3
1419c8d0c
1511de056
hexc428a0

12855456 has 48 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4284864.

The previous prime is 12855449. The next prime is 12855463. The reversal of 12855456 is 65455821.

It is an interprime number because it is at equal distance from previous prime (12855449) and next prime (12855463).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12855456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6576 + ... + 8303.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 212855456 is an apocalyptic number.

12855456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12855456 is an abundant number, since it is smaller than the sum of its proper divisors (24642144).

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

12855456 is a wasteful number, since it uses less digits than its factorization.

12855456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14898 (or 14884 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 12855456 is about 3585.4505992971. The cubic root of 12855456 is about 234.2587538734.

The spelling of 12855456 in words is "twelve million, eight hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14879 29758 44637 59516 89274 119032 133911 178548 238064 267822 357096 401733 476128 535644 714192 803466 1071288 1428384 1606932 2142576 3213864 4285152 6427728 12855456