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256226872 = 231116317863
BaseRepresentation
bin11110100010110…
…11011000111000
3122212010200012011
433101123120320
51011043224442
641231455304
76230615056
oct1721333070
9585120164
10256226872
111216a7050
1271987534
1341112a45
142605b1d6
1517764117
hexf45b638

256226872 has 32 divisors (see below), whose sum is σ = 527345280. Its totient is φ = 115745760.

The previous prime is 256226869. The next prime is 256226879. The reversal of 256226872 is 278622652.

It is a happy number.

256226872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256226879) 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, 5413 + ... + 23275.

It is an arithmetic number, because the mean of its divisors is an integer number (16479540).

Almost surely, 2256226872 is an apocalyptic number.

256226872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256226872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263672640).

256226872 is an abundant number, since it is smaller than the sum of its proper divisors (271118408).

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

256226872 is a wasteful number, since it uses less digits than its factorization.

256226872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18043 (or 18039 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 256226872 is about 16007.0881799283. The cubic root of 256226872 is about 635.1479366816.

The spelling of 256226872 in words is "two hundred fifty-six million, two hundred twenty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 163 326 652 1304 1793 3586 7172 14344 17863 35726 71452 142904 196493 392986 785972 1571944 2911669 5823338 11646676 23293352 32028359 64056718 128113436 256226872