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830859853 = 17533172909
BaseRepresentation
bin110001100001011…
…110101001001101
32010220102001110011
4301201132221031
53200200003403
6214240113221
726406122635
oct6141365115
92126361404
10830859853
11396aa933a
121b2305811
13103199365
147c4bd6c5
154ce20a6d
hex3185ea4d

830859853 has 16 divisors (see below), whose sum is σ = 899469360. Its totient is φ = 764548096.

The previous prime is 830859847. The next prime is 830859877. The reversal of 830859853 is 358958038.

830859853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 31214569 + 799645284 = 5587^2 + 28278^2 .

It is a cyclic number.

It is not a de Polignac number, because 830859853 - 217 = 830728781 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 830859797 and 830859806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830859053) 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, 284163 + ... + 287071.

It is an arithmetic number, because the mean of its divisors is an integer number (56216835).

Almost surely, 2830859853 is an apocalyptic number.

It is an amenable number.

830859853 is a deficient number, since it is larger than the sum of its proper divisors (68609507).

830859853 is a wasteful number, since it uses less digits than its factorization.

830859853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296.

The product of its (nonzero) digits is 1036800, while the sum is 49.

The square root of 830859853 is about 28824.6396855191. The cubic root of 830859853 is about 940.1040525377.

The spelling of 830859853 in words is "eight hundred thirty million, eight hundred fifty-nine thousand, eight hundred fifty-three".

Divisors: 1 17 53 317 901 2909 5389 16801 49453 154177 285617 922153 2621009 15676601 48874109 830859853