Search a number
-
+
9232048 = 247312659
BaseRepresentation
bin100011001101…
…111010110000
3122101000222201
4203031322300
54330411143
6525512544
7141320410
oct43157260
918330881
109232048
1152361a1
123112754
131bb3167
141324640
15c2564d
hex8cdeb0

9232048 has 40 divisors (see below), whose sum is σ = 21109760. Its totient is φ = 3827520.

The previous prime is 9232021. The next prime is 9232049. The reversal of 9232048 is 8402329.

9232048 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

9232048 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (9232049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2143 + ... + 4801.

It is an arithmetic number, because the mean of its divisors is an integer number (527744).

Almost surely, 29232048 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 9232048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10554880).

9232048 is an abundant number, since it is smaller than the sum of its proper divisors (11877712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9232048 is a wasteful number, since it uses less digits than its factorization.

9232048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 9232048 is about 3038.4285412035. The cubic root of 9232048 is about 209.7809355805.

The spelling of 9232048 in words is "nine million, two hundred thirty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 2659 3472 5318 10636 18613 21272 37226 42544 74452 82429 148904 164858 297808 329716 577003 659432 1154006 1318864 2308012 4616024 9232048