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23075856 = 2432191839
BaseRepresentation
bin101100000000…
…1110000010000
31121102101010100
41120001300100
521401411411
62142332400
7400066356
oct130016020
947371110
1023075856
1112031261
12788a100
134a1c46b
1430c97d6
15205c456
hex1601c10

23075856 has 60 divisors (see below), whose sum is σ = 64995840. Its totient is φ = 7642560.

The previous prime is 23075849. The next prime is 23075867. The reversal of 23075856 is 65857032.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23075856.

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 11 ways as a sum of consecutive naturals, for example, 27085 + ... + 27923.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 223075856 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 23075856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

23075856 is an abundant number, since it is smaller than the sum of its proper divisors (41919984).

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

23075856 is a wasteful number, since it uses less digits than its factorization.

23075856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 23075856 is about 4803.7335479812. The cubic root of 23075856 is about 284.6989989242.

The spelling of 23075856 in words is "twenty-three million, seventy-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 839 1146 1528 1678 1719 2292 2517 3056 3356 3438 4584 5034 6712 6876 7551 9168 10068 13424 13752 15102 20136 27504 30204 40272 60408 120816 160249 320498 480747 640996 961494 1281992 1442241 1922988 2563984 2884482 3845976 5768964 7691952 11537928 23075856