Base | Representation |
---|---|
bin | 11110011111110… |
… | …10110011100000 |
3 | 122211101120112000 |
4 | 33033322303200 |
5 | 1010443100024 |
6 | 41215204000 |
7 | 6224346513 |
oct | 1717726340 |
9 | 584346460 |
10 | 255831264 |
11 | 1214568a7 |
12 | 71816600 |
13 | 41004960 |
14 | 25d96d7a |
15 | 176d6cc9 |
hex | f3face0 |
255831264 has 96 divisors (see below), whose sum is σ = 803607840. Its totient is φ = 78713856.
The previous prime is 255831263. The next prime is 255831269. The reversal of 255831264 is 462138552.
255831264 is a `hidden beast` number, since 2 + 5 + 583 + 12 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (255831263) 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 15 ways as a sum of consecutive naturals, for example, 157 + ... + 22620.
It is an arithmetic number, because the mean of its divisors is an integer number (8370915).
Almost surely, 2255831264 is an apocalyptic number.
255831264 is a gapful number since it is divisible by the number (24) 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 255831264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401803920).
255831264 is an abundant number, since it is smaller than the sum of its proper divisors (547776576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
255831264 is a wasteful number, since it uses less digits than its factorization.
255831264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22809 (or 22795 counting only the distinct ones).
The product of its digits is 57600, while the sum is 36.
The square root of 255831264 is about 15994.7261308220. The cubic root of 255831264 is about 634.8208840296.
The spelling of 255831264 in words is "two hundred fifty-five million, eight hundred thirty-one thousand, two hundred sixty-four".
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