Base | Representation |
---|---|
bin | 100011011011… |
… | …100101110000 |
3 | 122110212210210 |
4 | 203123211300 |
5 | 4334204143 |
6 | 531024120 |
7 | 141642600 |
oct | 43334560 |
9 | 18425723 |
10 | 9288048 |
11 | 5274280 |
12 | 313b040 |
13 | 1c027b3 |
14 | 133ac00 |
15 | c37033 |
hex | 8db970 |
9288048 has 120 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 2405760.
The previous prime is 9288023. The next prime is 9288049. The reversal of 9288048 is 8408829.
It is a happy number.
9288048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 9287997 and 9288015.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9288049) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25693 + ... + 26051.
It is an arithmetic number, because the mean of its divisors is an integer number (254448).
Almost surely, 29288048 is an apocalyptic number.
9288048 is a gapful number since it is divisible by the number (98) 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 9288048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).
9288048 is an abundant number, since it is smaller than the sum of its proper divisors (21245712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9288048 is a wasteful number, since it uses less digits than its factorization.
9288048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 395 (or 382 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 39.
The square root of 9288048 is about 3047.6298987902. The cubic root of 9288048 is about 210.2042457309.
The spelling of 9288048 in words is "nine million, two hundred eighty-eight thousand, forty-eight".
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