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889098912 = 2532131761229
BaseRepresentation
bin110100111111101…
…001001010100000
32021221222220102100
4310333221022200
53310102131122
6224120250400
731014134052
oct6477511240
92257886370
10889098912
11416967199
12209910a00
1311227a940
148611d8d2
15530c6aac
hex34fe92a0

889098912 has 288 divisors, whose sum is σ = 2943092880. Its totient is φ = 252149760.

The previous prime is 889098877. The next prime is 889098913. The reversal of 889098912 is 219890988.

It is a happy number.

889098912 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 8 ways, for example, as 365421456 + 523677456 = 19116^2 + 22884^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (889098913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3882414 + ... + 3882642.

Almost surely, 2889098912 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 889098912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471546440).

889098912 is an abundant number, since it is smaller than the sum of its proper divisors (2053993968).

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

889098912 is a wasteful number, since it uses less digits than its factorization.

889098912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 889098912 is about 29817.7616866189. The cubic root of 889098912 is about 961.5754340104.

The spelling of 889098912 in words is "eight hundred eighty-nine million, ninety-eight thousand, nine hundred twelve".