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268261056 = 2632766533
BaseRepresentation
bin11111111110101…
…01011011000000
3200200210001222200
433333111123000
51022133323211
642341433200
76435116130
oct1777253300
9620701880
10268261056
11128476558
1275a0b800
134376746b
14278b0ac0
151883eb56
hexffd56c0

268261056 has 84 divisors (see below), whose sum is σ = 878781072. Its totient is φ = 76644864.

The previous prime is 268261051. The next prime is 268261067. The reversal of 268261056 is 650162862.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 268261056.

It is not an unprimeable number, because it can be changed into a prime (268261051) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29235 + ... + 37298.

Almost surely, 2268261056 is an apocalyptic number.

It is an amenable number.

268261056 is an abundant number, since it is smaller than the sum of its proper divisors (610520016).

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

268261056 is a wasteful number, since it uses less digits than its factorization.

268261056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66558 (or 66545 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 268261056 is about 16378.6768696375. The cubic root of 268261056 is about 644.9398465625.

The spelling of 268261056 in words is "two hundred sixty-eight million, two hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 66533 133066 199599 266132 399198 465731 532264 598797 798396 931462 1064528 1197594 1397193 1596792 1862924 2129056 2395188 2794386 3193584 3725848 4191579 4258112 4790376 5588772 6387168 7451696 8383158 9580752 11177544 12774336 14903392 16766316 19161504 22355088 29806784 33532632 38323008 44710176 67065264 89420352 134130528 268261056