Search a number
-
+
859841268 = 22311131094597
BaseRepresentation
bin110011010000000…
…010001011110100
32012220221110110220
4303100002023310
53230104410033
6221153214340
730210346566
oct6320021364
92186843426
10859841268
114013a3520
121bbb613b0
131091a5820
14822a5336
1550747bb3
hex334022f4

859841268 has 96 divisors (see below), whose sum is σ = 2379189120. Its totient is φ = 238256640.

The previous prime is 859841267. The next prime is 859841341. The reversal of 859841268 is 862148958.

It is a self number, because there is not a number n which added to its sum of digits gives 859841268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (859841267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184746 + ... + 189342.

It is an arithmetic number, because the mean of its divisors is an integer number (24783220).

Almost surely, 2859841268 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 859841268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189594560).

859841268 is an abundant number, since it is smaller than the sum of its proper divisors (1519347852).

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

859841268 is a wasteful number, since it uses less digits than its factorization.

859841268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4735 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 859841268 is about 29323.0501142020. The cubic root of 859841268 is about 950.9100302878.

The spelling of 859841268 in words is "eight hundred fifty-nine million, eight hundred forty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 109 132 143 156 218 286 327 429 436 572 654 858 1199 1308 1417 1716 2398 2834 3597 4251 4597 4796 5668 7194 8502 9194 13791 14388 15587 17004 18388 27582 31174 46761 50567 55164 59761 62348 93522 101134 119522 151701 179283 187044 202268 239044 303402 358566 501073 606804 657371 717132 1002146 1314742 1503219 1972113 2004292 2629484 3006438 3944226 5511803 6012876 6513949 7888452 11023606 13027898 16535409 19541847 22047212 26055796 33070818 39083694 66141636 71653439 78167388 143306878 214960317 286613756 429920634 859841268