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889088928 = 25373133167
BaseRepresentation
bin110100111111100…
…110101110100000
32021221222101201120
4310333212232200
53310101321203
6224120132240
731014063000
oct6477465640
92257871646
10889088928
1141695a742
12209907080
13112276230
148611a000
15530c3b53
hex34fe6ba0

889088928 has 384 divisors, whose sum is σ = 3070771200. Its totient is φ = 223534080.

The previous prime is 889088927. The next prime is 889088929. The reversal of 889088928 is 829880988.

It is an interprime number because it is at equal distance from previous prime (889088927) and next prime (889088929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889088927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13269951 + ... + 13270017.

It is an arithmetic number, because the mean of its divisors is an integer number (7996800).

Almost surely, 2889088928 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 889088928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535385600).

889088928 is an abundant number, since it is smaller than the sum of its proper divisors (2181682272).

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

889088928 is a wasteful number, since it uses less digits than its factorization.

889088928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 60.

The square root of 889088928 is about 29817.5942691559. The cubic root of 889088928 is about 961.5718347089.

The spelling of 889088928 in words is "eight hundred eighty-nine million, eighty-eight thousand, nine hundred twenty-eight".