Search a number
-
+
264327856 = 24136192053
BaseRepresentation
bin11111100000101…
…01001010110000
3200102101020122121
433300111022300
51020131442411
642121244024
76356515102
oct1760251260
9612336577
10264327856
1112622a481
1274633614
13429bb120
1427169572
1518314571
hexfc152b0

264327856 has 40 divisors (see below), whose sum is σ = 552690320. Its totient is φ = 121741056.

The previous prime is 264327853. The next prime is 264327893. The reversal of 264327856 is 658723462.

264327856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (264327853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127726 + ... + 129778.

It is an arithmetic number, because the mean of its divisors is an integer number (13817258).

Almost surely, 2264327856 is an apocalyptic number.

264327856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

264327856 is an abundant number, since it is smaller than the sum of its proper divisors (288362464).

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

264327856 is a wasteful number, since it uses less digits than its factorization.

264327856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2687 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 264327856 is about 16258.1627498312. The cubic root of 264327856 is about 641.7723140678.

The spelling of 264327856 in words is "two hundred sixty-four million, three hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 619 1238 2053 2476 4106 4952 8047 8212 9904 16094 16424 26689 32188 32848 53378 64376 106756 128752 213512 427024 1270807 2541614 5083228 10166456 16520491 20332912 33040982 66081964 132163928 264327856