Base | Representation |
---|---|
bin | 11100011101110… |
… | …00011000000000 |
3 | 121122022101021000 |
4 | 32032320120000 |
5 | 442112010302 |
6 | 35405532000 |
7 | 5626420203 |
oct | 1616703000 |
9 | 548271230 |
10 | 238781952 |
11 | 112871462 |
12 | 67b74000 |
13 | 3a6155c6 |
14 | 239d993a |
15 | 15e6a31c |
hex | e3b8600 |
238781952 has 160 divisors (see below), whose sum is σ = 738524160. Its totient is φ = 76032000.
The previous prime is 238781947. The next prime is 238781989. The reversal of 238781952 is 259187832.
It is a happy number.
238781952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 238781898 and 238781907.
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 317577 + ... + 318327.
It is an arithmetic number, because the mean of its divisors is an integer number (4615776).
Almost surely, 2238781952 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 238781952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369262080).
238781952 is an abundant number, since it is smaller than the sum of its proper divisors (499742208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238781952 is an equidigital number, since it uses as much as digits as its factorization.
238781952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 801 (or 779 counting only the distinct ones).
The product of its digits is 241920, while the sum is 45.
The square root of 238781952 is about 15452.5710482107. The cubic root of 238781952 is about 620.3933958420.
The spelling of 238781952 in words is "two hundred thirty-eight million, seven hundred eighty-one thousand, nine hundred fifty-two".
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