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9255264 = 253229421
BaseRepresentation
bin100011010011…
…100101100000
3122102012211120
4203103211200
54332132024
6530212240
7141445164
oct43234540
918365746
109255264
115251687
123124080
131bc08b5
14132cca4
15c2c479
hex8d3960

9255264 has 48 divisors (see below), whose sum is σ = 24459120. Its totient is φ = 3064320.

The previous prime is 9255241. The next prime is 9255289. The reversal of 9255264 is 4625529.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21774 + ... + 22194.

It is an arithmetic number, because the mean of its divisors is an integer number (509565).

Almost surely, 29255264 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 9255264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12229560).

9255264 is an abundant number, since it is smaller than the sum of its proper divisors (15203856).

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

9255264 is a wasteful number, since it uses less digits than its factorization.

9255264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 9255264 is about 3042.2465383331. The cubic root of 9255264 is about 209.9566350367.

The spelling of 9255264 in words is "nine million, two hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 421 458 687 842 916 1263 1374 1684 1832 2526 2748 3368 3664 5052 5496 6736 7328 10104 10992 13472 20208 21984 40416 96409 192818 289227 385636 578454 771272 1156908 1542544 2313816 3085088 4627632 9255264