Search a number
-
+
830846968 = 23759251467
BaseRepresentation
bin110001100001011…
…011011111111000
32010220101101202221
4301201123133320
53200144100333
6214235533424
726406040240
oct6141333770
92126341687
10830846968
11396a9a696
121b22ba274
13103193533
147c4b8b20
154ce1bd2d
hex3185b7f8

830846968 has 32 divisors (see below), whose sum is σ = 1810569600. Its totient is φ = 350040672.

The previous prime is 830846923. The next prime is 830846969. The reversal of 830846968 is 869648038.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830846969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122430 + ... + 129037.

It is an arithmetic number, because the mean of its divisors is an integer number (56580300).

Almost surely, 2830846968 is an apocalyptic number.

It is an amenable number.

830846968 is an abundant number, since it is smaller than the sum of its proper divisors (979722632).

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

830846968 is a wasteful number, since it uses less digits than its factorization.

830846968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251539 (or 251535 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The square root of 830846968 is about 28824.4161779558. The cubic root of 830846968 is about 940.0991927918.

The spelling of 830846968 in words is "eight hundred thirty million, eight hundred forty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 1652 3304 251467 502934 1005868 1760269 2011736 3520538 7041076 14082152 14836553 29673106 59346212 103855871 118692424 207711742 415423484 830846968