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9255238704 = 2432971494447
BaseRepresentation
bin10001001111010011…
…11011110000110000
3212220000100211200200
420213221323300300
5122423320114304
64130215515200
7445232142135
oct104751736060
925800324620
109255238704
113a1a382908
121963688b00
13b4660830a
1463b29658c
153927e7e39
hex227a7bc30

9255238704 has 120 divisors (see below), whose sum is σ = 26350396800. Its totient is φ = 3032100864.

The previous prime is 9255238693. The next prime is 9255238717. The reversal of 9255238704 is 4078325529.

9255238704 is a `hidden beast` number, since 92 + 552 + 3 + 8 + 7 + 0 + 4 = 666.

9255238704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9255238704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2079009 + ... + 2083455.

It is an arithmetic number, because the mean of its divisors is an integer number (219586640).

Almost surely, 29255238704 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 9255238704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175198400).

9255238704 is an abundant number, since it is smaller than the sum of its proper divisors (17095158096).

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

9255238704 is a wasteful number, since it uses less digits than its factorization.

9255238704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 9255238704 is about 96204.1511786264. The cubic root of 9255238704 is about 2099.5644375571.

The spelling of 9255238704 in words is "nine billion, two hundred fifty-five million, two hundred thirty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 149 194 291 298 388 447 582 596 776 873 894 1164 1192 1341 1552 1746 1788 2328 2384 2682 3492 3576 4447 4656 5364 6984 7152 8894 10728 13341 13968 14453 17788 21456 26682 28906 35576 40023 43359 53364 57812 71152 80046 86718 106728 115624 130077 160092 173436 213456 231248 260154 320184 346872 431359 520308 640368 662603 693744 862718 1040616 1294077 1325206 1725436 1987809 2081232 2588154 2650412 3450872 3882231 3975618 5176308 5300824 5963427 6901744 7764462 7951236 10352616 10601648 11926854 15528924 15902472 20705232 23853708 31057848 31804944 47707416 62115696 64272491 95414832 128544982 192817473 257089964 385634946 514179928 578452419 771269892 1028359856 1156904838 1542539784 2313809676 3085079568 4627619352 9255238704