| Base | Representation |
|---|---|
| bin | 10110100100110… |
| … | …00101001100000 |
| 3 | 111012022221100000 |
| 4 | 23102120221200 |
| 5 | 341434301203 |
| 6 | 30442500000 |
| 7 | 4456416000 |
| oct | 1322305140 |
| 9 | 435287300 |
| 10 | 189368928 |
| 11 | 97991751 |
| 12 | 53504600 |
| 13 | 30304428 |
| 14 | 1b216000 |
| 15 | 119594a3 |
| hex | b498a60 |
189368928 has 288 divisors, whose sum is σ = 660441600. Its totient is φ = 53343360.
The previous prime is 189368917. The next prime is 189368951. The reversal of 189368928 is 829863981.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2667133 + ... + 2667203.
It is an arithmetic number, because the mean of its divisors is an integer number (2293200).
Almost surely, 2189368928 is an apocalyptic number.
189368928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 189368928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).
189368928 is an abundant number, since it is smaller than the sum of its proper divisors (471072672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189368928 is an frugal number, since it uses more digits than its factorization.
189368928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117 (or 83 counting only the distinct ones).
The product of its digits is 1492992, while the sum is 54.
The square root of 189368928 is about 13761.1383250079. The cubic root of 189368928 is about 574.2525163001.
The spelling of 189368928 in words is "one hundred eighty-nine million, three hundred sixty-eight thousand, nine hundred twenty-eight".
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