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868000868 = 227311019901
BaseRepresentation
bin110011101111001…
…010010001100100
32020111022000100022
4303233022101210
53234202011433
6222044134312
730336612530
oct6357122144
92214260308
10868000868
11405a66999
12202837398
1310aaa17a7
14833cabc0
155130a698
hex33bca464

868000868 has 48 divisors (see below), whose sum is σ = 1809927168. Its totient is φ = 356400000.

The previous prime is 868000853. The next prime is 868000877.

868000868 is nontrivially palindromic in base 10.

868000868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82718 + ... + 92618.

It is an arithmetic number, because the mean of its divisors is an integer number (37706816).

Almost surely, 2868000868 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 868000868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904963584).

868000868 is an abundant number, since it is smaller than the sum of its proper divisors (941926300).

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

868000868 is a wasteful number, since it uses less digits than its factorization.

868000868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 868000868 is about 29461.8544562287. The cubic root of 868000868 is about 953.9085025208.

It can be divided in two parts, 868000 and 868, that added together give a palindrome (868868).

The spelling of 868000868 in words is "eight hundred sixty-eight million, eight hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 31 62 101 124 202 217 404 434 707 868 1414 2828 3131 6262 9901 12524 19802 21917 39604 43834 69307 87668 138614 277228 306931 613862 1000001 1227724 2000002 2148517 4000004 4297034 7000007 8594068 14000014 28000028 31000031 62000062 124000124 217000217 434000434 868000868