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856634172 = 223233179791
BaseRepresentation
bin110011000011110…
…011001100111100
32012200220112011120
4303003303030330
53223244243142
6221000350540
730141161502
oct6303631474
92180815146
10856634172
113aa602a29
121baa75450
13108621b34
1481aac672
15503127ec
hex330f333c

856634172 has 48 divisors (see below), whose sum is σ = 2092511232. Its totient is φ = 272240320.

The previous prime is 856634153. The next prime is 856634179. The reversal of 856634172 is 271436658.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856634179) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82597 + ... + 92387.

It is an arithmetic number, because the mean of its divisors is an integer number (43593984).

Almost surely, 2856634172 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 856634172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046255616).

856634172 is an abundant number, since it is smaller than the sum of its proper divisors (1235877060).

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

856634172 is a wasteful number, since it uses less digits than its factorization.

856634172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10138 (or 10136 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 856634172 is about 29268.3134464560. The cubic root of 856634172 is about 949.7263004701.

The spelling of 856634172 in words is "eight hundred fifty-six million, six hundred thirty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 317 634 951 1268 1902 3804 7291 9791 14582 19582 21873 29164 29373 39164 43746 58746 87492 117492 225193 450386 675579 900772 1351158 2702316 3103747 6207494 9311241 12414988 18622482 37244964 71386181 142772362 214158543 285544724 428317086 856634172