Base | Representation |
---|---|
bin | 11111100000011… |
… | …10101000000000 |
3 | 200102022212220000 |
4 | 33300032220000 |
5 | 1020130113211 |
6 | 42120520000 |
7 | 6356344005 |
oct | 1760165000 |
9 | 612285800 |
10 | 264301056 |
11 | 126211328 |
12 | 74620000 |
13 | 429abb76 |
14 | 2715d8ac |
15 | 1830b656 |
hex | fc0ea00 |
264301056 has 100 divisors (see below), whose sum is σ = 788992842. Its totient is φ = 88086528.
The previous prime is 264301049. The next prime is 264301067. The reversal of 264301056 is 650103462.
264301056 is a `hidden beast` number, since 2 + 643 + 0 + 10 + 5 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 187142400 + 77158656 = 13680^2 + 8784^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38286 + ... + 44658.
Almost surely, 2264301056 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 264301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394496421).
264301056 is an abundant number, since it is smaller than the sum of its proper divisors (524691786).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264301056 is an frugal number, since it uses more digits than its factorization.
264301056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6403 (or 6378 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 264301056 is about 16257.3385275696. The cubic root of 264301056 is about 641.7506237326.
The spelling of 264301056 in words is "two hundred sixty-four million, three hundred one thousand, fifty-six".
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