Search a number
-
+
856800612 = 223317297283
BaseRepresentation
bin110011000100011…
…011110101100100
32012201012222111000
4303010123311210
53223320104422
6221004113300
730142453653
oct6304336544
92181188430
10856800612
113aa706a88
121bab35830
1310867c815
1481b1319a
1550346cac
hex3311bd64

856800612 has 144 divisors (see below), whose sum is σ = 2392438720. Its totient is φ = 265089024.

The previous prime is 856800569. The next prime is 856800631. The reversal of 856800612 is 216008658.

It is a happy number.

856800612 is digitally balanced in base 2, because in such base 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3027423 + ... + 3027705.

Almost surely, 2856800612 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 856800612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196219360).

856800612 is an abundant number, since it is smaller than the sum of its proper divisors (1535638108).

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

856800612 is a wasteful number, since it uses less digits than its factorization.

856800612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 856800612 is about 29271.1566563400. The cubic root of 856800612 is about 949.7878056082.

The spelling of 856800612 in words is "eight hundred fifty-six million, eight hundred thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 97 102 108 153 194 204 283 289 291 306 388 459 566 578 582 612 849 867 873 918 1132 1156 1164 1649 1698 1734 1746 1836 2547 2601 2619 3298 3396 3468 3492 4811 4947 5094 5202 5238 6596 7641 7803 9622 9894 10188 10404 10476 14433 14841 15282 15606 19244 19788 27451 28033 28866 29682 30564 31212 43299 44523 54902 56066 57732 59364 81787 82353 84099 86598 89046 109804 112132 129897 163574 164706 168198 173196 178092 245361 247059 252297 259794 327148 329412 336396 466667 490722 494118 504594 519588 736083 741177 756891 933334 981444 988236 1009188 1400001 1472166 1482354 1513782 1866668 2208249 2800002 2944332 2964708 3027564 4200003 4416498 5600004 7933339 8400006 8832996 12600009 15866678 16800012 23800017 25200018 31733356 47600034 50400036 71400051 95200068 142800102 214200153 285600204 428400306 856800612