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9894664 = 2313891069
BaseRepresentation
bin100101101111…
…101100001000
3200121200221001
4211233230020
510013112124
6552024344
7150050263
oct45575410
920550831
109894664
11564900a
1233920b4
132085940
141457cda
15d06b44
hex96fb08

9894664 has 32 divisors (see below), whose sum is σ = 20223000. Its totient is φ = 4511232.

The previous prime is 9894659. The next prime is 9894691. The reversal of 9894664 is 4664989.

9894664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5098564 + 4796100 = 2258^2 + 2190^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8722 + ... + 9790.

Almost surely, 29894664 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 9894664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10111500).

9894664 is an abundant number, since it is smaller than the sum of its proper divisors (10328336).

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

9894664 is a wasteful number, since it uses less digits than its factorization.

9894664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1173 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The square root of 9894664 is about 3145.5784841584. The cubic root of 9894664 is about 214.6843321410.

The spelling of 9894664 in words is "nine million, eight hundred ninety-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1069 1157 2138 2314 4276 4628 8552 9256 13897 27794 55588 95141 111176 190282 380564 761128 1236833 2473666 4947332 9894664