| Base | Representation |
|---|---|
| bin | 100011011011… |
| … | …101000111100 |
| 3 | 122110220002100 |
| 4 | 203123220330 |
| 5 | 4334211002 |
| 6 | 531025100 |
| 7 | 141643311 |
| oct | 43335074 |
| 9 | 18426070 |
| 10 | 9288252 |
| 11 | 5274446 |
| 12 | 313b190 |
| 13 | 1c0290c |
| 14 | 133ad08 |
| 15 | c3711c |
| hex | 8dba3c |
9288252 has 36 divisors (see below), whose sum is σ = 23882040. Its totient is φ = 3042912.
The previous prime is 9288241. The next prime is 9288259. The reversal of 9288252 is 2528829.
9288252 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9288259) 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 11 ways as a sum of consecutive naturals, for example, 63 + ... + 4310.
It is an arithmetic number, because the mean of its divisors is an integer number (663390).
Almost surely, 29288252 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 9288252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11941020).
9288252 is an abundant number, since it is smaller than the sum of its proper divisors (14593788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9288252 is a wasteful number, since it uses less digits than its factorization.
9288252 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4442 (or 4437 counting only the distinct ones).
The product of its digits is 23040, while the sum is 36.
The square root of 9288252 is about 3047.6633672373. The cubic root of 9288252 is about 210.2057846747.
It can be divided in two parts, 928 and 8252, that added together give a triangular number (9180 = T135).
The spelling of 9288252 in words is "nine million, two hundred eighty-eight thousand, two hundred fifty-two".
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