Base | Representation |
---|---|
bin | 100011011011… |
… | …110101110000 |
3 | 122110221012201 |
4 | 203123311300 |
5 | 4334222242 |
6 | 531032544 |
7 | 141645562 |
oct | 43336560 |
9 | 18427181 |
10 | 9289072 |
11 | 5275021 |
12 | 313b754 |
13 | 1c030c0 |
14 | 133b332 |
15 | c374b7 |
hex | 8dbd70 |
9289072 has 80 divisors (see below), whose sum is σ = 21373632. Its totient is φ = 3870720.
The previous prime is 9289069. The next prime is 9289073. The reversal of 9289072 is 2709829.
It is a Harshad number since it is a multiple of its sum of digits (37).
It is an Ulam number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9289073) 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 15 ways as a sum of consecutive naturals, for example, 130797 + ... + 130867.
Almost surely, 29289072 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 9289072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686816).
9289072 is an abundant number, since it is smaller than the sum of its proper divisors (12084560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9289072 is a wasteful number, since it uses less digits than its factorization.
9289072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 140 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 37.
The square root of 9289072 is about 3047.7978935618. The cubic root of 9289072 is about 210.2119703981.
It can be divided in two parts, 928 and 9072, that added together give a 4-th power (10000 = 104).
The spelling of 9289072 in words is "nine million, two hundred eighty-nine thousand, seventy-two".
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