Search a number
-
+
256888288 = 2523418513
BaseRepresentation
bin11110100111111…
…00110111100000
3122220101021111001
433103330313200
51011230411123
641254001344
76236341306
oct1723746740
9586337431
10256888288
11122008a78
1272046254
13412b4b07
1426190276
15178450ad
hexf4fcde0

256888288 has 48 divisors (see below), whose sum is σ = 540673056. Its totient is φ = 119848960.

The previous prime is 256888279. The next prime is 256888319. The reversal of 256888288 is 882888652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25920 + ... + 34432.

It is an arithmetic number, because the mean of its divisors is an integer number (11264022).

Almost surely, 2256888288 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 256888288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270336528).

256888288 is an abundant number, since it is smaller than the sum of its proper divisors (283784768).

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

256888288 is a wasteful number, since it uses less digits than its factorization.

256888288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8579 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 55.

The square root of 256888288 is about 16027.7349616220. The cubic root of 256888288 is about 635.6939840794.

The spelling of 256888288 in words is "two hundred fifty-six million, eight hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 328 368 656 736 943 1312 1886 3772 7544 8513 15088 17026 30176 34052 68104 136208 195799 272416 349033 391598 698066 783196 1396132 1566392 2792264 3132784 5584528 6265568 8027759 11169056 16055518 32111036 64222072 128444144 256888288