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868635042 = 231121279421
BaseRepresentation
bin110011110001100…
…101000110100010
32020112111020021020
4303301211012202
53234332310132
6222105510310
730345163452
oct6361450642
92215436236
10868635042
1140635a400
12202aa2396
1310ac64342
1483513d62
15513d352c
hex33c651a2

868635042 has 48 divisors (see below), whose sum is σ = 1924801536. Its totient is φ = 261122400.

The previous prime is 868635041. The next prime is 868635049. The reversal of 868635042 is 240536868.

It is a junction number, because it is equal to n+sod(n) for n = 868634985 and 868635003.

It is not an unprimeable number, because it can be changed into a prime (868635041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87492 + ... + 96912.

It is an arithmetic number, because the mean of its divisors is an integer number (40100032).

Almost surely, 2868635042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868635042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962400768).

868635042 is an abundant number, since it is smaller than the sum of its proper divisors (1056166494).

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

868635042 is a wasteful number, since it uses less digits than its factorization.

868635042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9575 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 868635042 is about 29472.6151198023. The cubic root of 868635042 is about 954.1407590871.

The spelling of 868635042 in words is "eight hundred sixty-eight million, six hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 127 242 254 363 381 726 762 1397 2794 4191 8382 9421 15367 18842 28263 30734 46101 56526 92202 103631 207262 310893 621786 1139941 1196467 2279882 2392934 3419823 3589401 6839646 7178802 13161137 26322274 39483411 78966822 144772507 289545014 434317521 868635042