Search a number
-
+
9008868 = 22311139491
BaseRepresentation
bin100010010111…
…011011100100
3121221200211210
4202113123210
54301240433
6521031420
7136400631
oct42273344
917850753
109008868
1150a3550
123025570
131b356bb
1412a7188
15bce463
hex8976e4

9008868 has 48 divisors (see below), whose sum is σ = 23143680. Its totient is φ = 2704800.

The previous prime is 9008863. The next prime is 9008873. The reversal of 9008868 is 8688009.

9008868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9008863) and next prime (9008873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9008863) 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, 18103 + ... + 18593.

It is an arithmetic number, because the mean of its divisors is an integer number (482160).

Almost surely, 29008868 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 9008868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11571840).

9008868 is an abundant number, since it is smaller than the sum of its proper divisors (14134812).

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

9008868 is a wasteful number, since it uses less digits than its factorization.

9008868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 9008868 is about 3001.4776360986. The cubic root of 9008868 is about 208.0766790760.

The spelling of 9008868 in words is "nine million, eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 491 556 834 982 1473 1529 1668 1964 2946 3058 4587 5401 5892 6116 9174 10802 16203 18348 21604 32406 64812 68249 136498 204747 272996 409494 750739 818988 1501478 2252217 3002956 4504434 9008868