Search a number
-
+
835664116 = 227291496907
BaseRepresentation
bin110001110011110…
…011100011110100
32011020110010122211
4301303303203310
53202412222431
6214531103204
726465012350
oct6163634364
92136403584
10835664116
1139978a901
121b3a41b04
1310418c011
147cdb0460
154d56e2b1
hex31cf38f4

835664116 has 48 divisors (see below), whose sum is σ = 1740816000. Its totient is φ = 343421568.

The previous prime is 835664113. The next prime is 835664119. The reversal of 835664116 is 611466538.

It is an interprime number because it is at equal distance from previous prime (835664113) and next prime (835664119).

It is a super-2 number, since 2×8356641162 = 1396669029540122912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (835664111) 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 15 ways as a sum of consecutive naturals, for example, 117535 + ... + 124441.

It is an arithmetic number, because the mean of its divisors is an integer number (36267000).

Almost surely, 2835664116 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 835664116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870408000).

835664116 is an abundant number, since it is smaller than the sum of its proper divisors (905151884).

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

835664116 is a wasteful number, since it uses less digits than its factorization.

835664116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7094 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 835664116 is about 28907.8556105430. The cubic root of 835664116 is about 941.9125523799.

The spelling of 835664116 in words is "eight hundred thirty-five million, six hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 29 58 116 149 203 298 406 596 812 1043 2086 4172 4321 6907 8642 13814 17284 27628 30247 48349 60494 96698 120988 193396 200303 400606 801212 1029143 1402121 2058286 2804242 4116572 5608484 7204001 14408002 28816004 29845147 59690294 119380588 208916029 417832058 835664116