Search a number
-
+
856825872 = 243737413
BaseRepresentation
bin110011000100100…
…010000000010000
32012201021021010120
4303010202000100
53223321411442
6221004430240
730142620420
oct6304420020
92181237116
10856825872
113aa723a61
121bab48380
1310868b176
1481b1c480
155034e4ec
hex33122010

856825872 has 160 divisors (see below), whose sum is σ = 2662996224. Its totient is φ = 232381440.

The previous prime is 856825847. The next prime is 856825883. The reversal of 856825872 is 278528658.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20898172 + ... + 20898212.

Almost surely, 2856825872 is an apocalyptic number.

856825872 is a gapful number since it is divisible by the number (82) 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 856825872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331498112).

856825872 is an abundant number, since it is smaller than the sum of its proper divisors (1806170352).

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

856825872 is an equidigital number, since it uses as much as digits as its factorization.

856825872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 90 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 51.

The square root of 856825872 is about 29271.5881359382. The cubic root of 856825872 is about 949.7971393255.

The spelling of 856825872 in words is "eight hundred fifty-six million, eight hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 41 42 48 56 74 82 84 111 112 123 148 164 168 222 246 259 287 296 328 336 444 492 518 574 592 656 777 861 888 984 1036 1148 1517 1554 1681 1722 1776 1968 2072 2296 3034 3108 3362 3444 4144 4551 4592 5043 6068 6216 6724 6888 9102 10086 10619 11767 12136 12432 13448 13776 18204 20172 21238 23534 24272 26896 31857 35301 36408 40344 42476 47068 62197 63714 68921 70602 72816 80688 84952 94136 124394 127428 137842 141204 169904 186591 188272 206763 248788 254856 275684 282408 373182 413526 435379 482447 497576 509712 551368 564816 746364 827052 870758 964894 995152 1102736 1306137 1447341 1492728 1654104 1741516 1929788 2550077 2612274 2894682 2985456 3308208 3483032 3859576 5100154 5224548 5789364 6966064 7650231 7719152 10200308 10449096 11578728 15300462 17850539 20400616 20898192 23157456 30600924 35701078 40801232 53551617 61201848 71402156 107103234 122403696 142804312 214206468 285608624 428412936 856825872