Base | Representation |
---|---|
bin | 100011011011… |
… | …111010011000 |
3 | 122110221121200 |
4 | 203123322120 |
5 | 4334224433 |
6 | 531034200 |
7 | 141646464 |
oct | 43337230 |
9 | 18427550 |
10 | 9289368 |
11 | 5275270 |
12 | 313b960 |
13 | 1c0328a |
14 | 133b4a4 |
15 | c37613 |
hex | 8dbe98 |
9289368 has 96 divisors (see below), whose sum is σ = 28276560. Its totient is φ = 2730240.
The previous prime is 9289351. The next prime is 9289381. The reversal of 9289368 is 8639829.
9289368 is a `hidden beast` number, since 9 + 289 + 368 = 666.
It is a super-3 number, since 3×92893683 (a number of 22 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 29146 + ... + 29462.
Almost surely, 29289368 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 9289368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138280).
9289368 is an abundant number, since it is smaller than the sum of its proper divisors (18987192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9289368 is a wasteful number, since it uses less digits than its factorization.
9289368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 377 (or 370 counting only the distinct ones).
The product of its digits is 186624, while the sum is 45.
The square root of 9289368 is about 3047.8464528253. The cubic root of 9289368 is about 210.2142032039.
It can be divided in two parts, 928 and 9368, that added together give a triangular number (10296 = T143).
The spelling of 9289368 in words is "nine million, two hundred eighty-nine thousand, three hundred sixty-eight".
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