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268537864 = 23741116959
BaseRepresentation
bin10000000000011…
…001000000001000
3200201022010200211
4100000121000020
51022221202424
642351410504
76440351140
oct2000310010
9621263624
10268537864
11128645521
1275b23a34
134383345a
1427943920
1518896b94
hex10019008

268537864 has 32 divisors (see below), whose sum is σ = 589478400. Its totient is φ = 112279680.

The previous prime is 268537861. The next prime is 268537877. The reversal of 268537864 is 468735862.

It is a super-2 number, since 2×2685378642 = 144225168803364992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (268537861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56184 + ... + 60775.

It is an arithmetic number, because the mean of its divisors is an integer number (18421200).

Almost surely, 2268537864 is an apocalyptic number.

It is an amenable number.

268537864 is an abundant number, since it is smaller than the sum of its proper divisors (320940536).

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

268537864 is a wasteful number, since it uses less digits than its factorization.

268537864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117013 (or 117009 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

The square root of 268537864 is about 16387.1249461277. The cubic root of 268537864 is about 645.1615996349.

The spelling of 268537864 in words is "two hundred sixty-eight million, five hundred thirty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 116959 233918 467836 818713 935672 1637426 3274852 4795319 6549704 9590638 19181276 33567233 38362552 67134466 134268932 268537864