Search a number
-
+
9048928 = 257229199
BaseRepresentation
bin100010100001…
…001101100000
3122000201210111
4202201031200
54304031203
6521541104
7136625500
oct42411540
918021714
109048928
115120659
123044794
131b4a9c5
1412b7a00
15bdb26d
hex8a1360

9048928 has 72 divisors (see below), whose sum is σ = 21546000. Its totient is φ = 3725568.

The previous prime is 9048917. The next prime is 9048929. The reversal of 9048928 is 8298409.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9048929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45373 + ... + 45571.

It is an arithmetic number, because the mean of its divisors is an integer number (299250).

Almost surely, 29048928 is an apocalyptic number.

9048928 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 9048928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10773000).

9048928 is an abundant number, since it is smaller than the sum of its proper divisors (12497072).

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

9048928 is a wasteful number, since it uses less digits than its factorization.

9048928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 9048928 is about 3008.1436135929. The cubic root of 9048928 is about 208.3846432908.

The spelling of 9048928 in words is "nine million, forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 199 203 224 232 392 398 406 464 784 796 812 928 1393 1421 1568 1592 1624 2786 2842 3184 3248 5572 5684 5771 6368 6496 9751 11144 11368 11542 19502 22288 22736 23084 39004 40397 44576 45472 46168 78008 80794 92336 156016 161588 184672 282779 312032 323176 565558 646352 1131116 1292704 2262232 4524464 9048928