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256867104 = 25313205823
BaseRepresentation
bin11110100111101…
…11101100100000
3122220100012102110
433103313230200
51011224221404
641253315320
76236222454
oct1723675440
9586305373
10256867104
11121aa406a
1272035b40
13412a8290
1426186664
151783db89
hexf4f7b20

256867104 has 48 divisors (see below), whose sum is σ = 726147072. Its totient is φ = 79035648.

The previous prime is 256867087. The next prime is 256867109. The reversal of 256867104 is 401768652.

256867104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (39).

It is not an unprimeable number, because it can be changed into a prime (256867109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101664 + ... + 104159.

It is an arithmetic number, because the mean of its divisors is an integer number (15128064).

Almost surely, 2256867104 is an apocalyptic number.

256867104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256867104 is an abundant number, since it is smaller than the sum of its proper divisors (469279968).

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

256867104 is a wasteful number, since it uses less digits than its factorization.

256867104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205849 (or 205841 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 256867104 is about 16027.0740935456. The cubic root of 256867104 is about 635.6765096724.

The spelling of 256867104 in words is "two hundred fifty-six million, eight hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 205823 411646 617469 823292 1234938 1646584 2469876 2675699 3293168 4939752 5351398 6586336 8027097 9879504 10702796 16054194 19759008 21405592 32108388 42811184 64216776 85622368 128433552 256867104