Search a number
-
+
5230685256 = 23317191036551
BaseRepresentation
bin1001101111100010…
…11110110001001000
3111111112110100020120
410313301132301020
541203023412011
62223011423240
7243423043146
oct46761366110
914445410216
105230685256
112244649285
12101b8b4b20
1365489aa44
14378990596
15209322a06
hex137c5ec48

5230685256 has 128 divisors (see below), whose sum is σ = 14718412800. Its totient is φ = 1539302400.

The previous prime is 5230685219. The next prime is 5230685281. The reversal of 5230685256 is 6525860325.

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 31 ways as a sum of consecutive naturals, for example, 795181 + ... + 801731.

It is an arithmetic number, because the mean of its divisors is an integer number (114987600).

Almost surely, 25230685256 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 5230685256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359206400).

5230685256 is an abundant number, since it is smaller than the sum of its proper divisors (9487727544).

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

5230685256 is a wasteful number, since it uses less digits than its factorization.

5230685256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 5230685256 is about 72323.4765204218. The cubic root of 5230685256 is about 1735.8793202936.

The spelling of 5230685256 in words is "five billion, two hundred thirty million, six hundred eighty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 103 114 136 152 204 206 228 309 323 408 412 456 618 646 824 969 1236 1292 1751 1938 1957 2472 2584 3502 3876 3914 5253 5871 6551 7004 7752 7828 10506 11742 13102 14008 15656 19653 21012 23484 26204 33269 39306 42024 46968 52408 66538 78612 99807 111367 124469 133076 157224 199614 222734 248938 266152 334101 373407 399228 445468 497876 668202 674753 746814 798456 890936 995752 1336404 1349506 1493628 2024259 2115973 2672808 2699012 2987256 4048518 4231946 5398024 6347919 8097036 8463892 11470801 12695838 12820307 16194072 16927784 22941602 25391676 25640614 34412403 38460921 45883204 50783352 51281228 68824806 76921842 91766408 102562456 137649612 153843684 217945219 275299224 307687368 435890438 653835657 871780876 1307671314 1743561752 2615342628 5230685256