Search a number
-
+
256608044 = 227111814603
BaseRepresentation
bin11110100101110…
…00011100101100
3122212212001001122
433102320130230
51011142424134
641244000112
76234063260
oct1722703454
9585761048
10256608044
11121937470
1271b30038
13412173a4
142611a0a0
15177dc02e
hexf4b872c

256608044 has 48 divisors (see below), whose sum is σ = 563087616. Its totient is φ = 99403200.

The previous prime is 256608031. The next prime is 256608071. The reversal of 256608044 is 440806652.

It is a junction number, because it is equal to n+sod(n) for n = 256607995 and 256608013.

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, 53447 + ... + 58049.

It is an arithmetic number, because the mean of its divisors is an integer number (11730992).

Almost surely, 2256608044 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 256608044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281543808).

256608044 is an abundant number, since it is smaller than the sum of its proper divisors (306479572).

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

256608044 is a wasteful number, since it uses less digits than its factorization.

256608044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 256608044 is about 16018.9901054967. The cubic root of 256608044 is about 635.4627366791.

The spelling of 256608044 in words is "two hundred fifty-six million, six hundred eight thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 181 308 362 724 1267 1991 2534 3982 4603 5068 7964 9206 13937 18412 27874 32221 50633 55748 64442 101266 128884 202532 354431 708862 833143 1417724 1666286 3332572 5832001 9164573 11664002 18329146 23328004 36658292 64152011 128304022 256608044