Search a number
-
+
856626331 = 11293772577
BaseRepresentation
bin110011000011110…
…001010010011011
32012200220010102011
4303003301102123
53223244020311
6221000250351
730141126601
oct6303612233
92180803364
10856626331
113aa5a8050
121baa709b7
1310861b3b2
1481aa9871
1550310321
hex330f149b

856626331 has 16 divisors (see below), whose sum is σ = 992867040. Its totient is φ = 731566080.

The previous prime is 856626319. The next prime is 856626359. The reversal of 856626331 is 133626658.

856626331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 12-Lehmer number, since φ(856626331) divides (856626331-1)12.

It is a cyclic number.

It is not a de Polignac number, because 856626331 - 211 = 856624283 is a prime.

It is a super-2 number, since 2×8566263312 = 1467617341925043122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (856626301) 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, 24486 + ... + 48091.

It is an arithmetic number, because the mean of its divisors is an integer number (62054190).

Almost surely, 2856626331 is an apocalyptic number.

856626331 is the 15645-th centered heptagonal number.

856626331 is a deficient number, since it is larger than the sum of its proper divisors (136240709).

856626331 is a wasteful number, since it uses less digits than its factorization.

856626331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72654.

The product of its digits is 155520, while the sum is 40.

The square root of 856626331 is about 29268.1794958279. The cubic root of 856626331 is about 949.7234027623.

The spelling of 856626331 in words is "eight hundred fifty-six million, six hundred twenty-six thousand, three hundred thirty-one".

Divisors: 1 11 29 37 319 407 1073 11803 72577 798347 2104733 2685349 23152063 29538839 77875121 856626331