Base | Representation |
---|---|
bin | 11100100100111… |
… | …11011010000000 |
3 | 121201002110100022 |
4 | 32102133122000 |
5 | 442332301011 |
6 | 35442113012 |
7 | 5640441125 |
oct | 1622373200 |
9 | 551073308 |
10 | 239728256 |
11 | 113358429 |
12 | 6834b768 |
13 | 3a887251 |
14 | 23ba474c |
15 | 160a58db |
hex | e49f680 |
239728256 has 32 divisors (see below), whose sum is σ = 480297600. Its totient is φ = 119183104.
The previous prime is 239728253. The next prime is 239728267. The reversal of 239728256 is 652827932.
It is a tau number, because it is divible by the number of its divisors (32).
It is not an unprimeable number, because it can be changed into a prime (239728253) 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 3 ways as a sum of consecutive naturals, for example, 17681 + ... + 28143.
It is an arithmetic number, because the mean of its divisors is an integer number (15009300).
Almost surely, 2239728256 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 239728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240148800).
239728256 is an abundant number, since it is smaller than the sum of its proper divisors (240569344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
239728256 is a wasteful number, since it uses less digits than its factorization.
239728256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10656 (or 10644 counting only the distinct ones).
The product of its digits is 362880, while the sum is 44.
The square root of 239728256 is about 15483.1604009001. The cubic root of 239728256 is about 621.2118648921.
It can be divided in two parts, 23 and 9728256, that added together give a palindrome (9728279).
The spelling of 239728256 in words is "two hundred thirty-nine million, seven hundred twenty-eight thousand, two hundred fifty-six".
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