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12858368 = 21029433
BaseRepresentation
bin110001000011…
…010000000000
3220012021100212
4301003100000
511242431433
61135333252
7214202645
oct61032000
926167325
1012858368
117292756
124381228
132882903
1419c9dcc
1511ded48
hexc43400

12858368 has 44 divisors (see below), whose sum is σ = 26651940. Its totient is φ = 6193152.

The previous prime is 12858367. The next prime is 12858389. The reversal of 12858368 is 86385821.

It can be written as a sum of positive squares in 2 ways, for example, as 3810304 + 9048064 = 1952^2 + 3008^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12858367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29480 + ... + 29912.

Almost surely, 212858368 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 12858368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13325970).

12858368 is an abundant number, since it is smaller than the sum of its proper divisors (13793572).

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

12858368 is an equidigital number, since it uses as much as digits as its factorization.

12858368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 464 counting only the distinct ones).

The product of its digits is 92160, while the sum is 41.

The square root of 12858368 is about 3585.8566619429. The cubic root of 12858368 is about 234.2764405269.

The spelling of 12858368 in words is "twelve million, eight hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 433 464 512 866 928 1024 1732 1856 3464 3712 6928 7424 12557 13856 14848 25114 27712 29696 50228 55424 100456 110848 200912 221696 401824 443392 803648 1607296 3214592 6429184 12858368