| Base | Representation |
|---|---|
| bin | 10001001110111… |
| … | …111000110001000 |
| 3 | 202011001220001200 |
| 4 | 101032333012020 |
| 5 | 1043010004003 |
| 6 | 44405144200 |
| 7 | 10110442023 |
| oct | 2116770610 |
| 9 | 664056050 |
| 10 | 289141128 |
| 11 | 139238011 |
| 12 | 809bb060 |
| 13 | 47b98333 |
| 14 | 2a5881ba |
| 15 | 1a5b66a3 |
| hex | 113bf188 |
289141128 has 96 divisors (see below), whose sum is σ = 798033600. Its totient is φ = 94564224.
The previous prime is 289141121. The next prime is 289141147. The reversal of 289141128 is 821141982.
It is a happy number.
289141128 is a nontrivial binomial coefficient, being equal to C(24048, 2).
It is a super-2 number, since 2×2891411282 = 167205183802224768, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 289141092 and 289141101.
It is not an unprimeable number, because it can be changed into a prime (289141121) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671250 + ... + 1671422.
It is an arithmetic number, because the mean of its divisors is an integer number (8312850).
Almost surely, 2289141128 is an apocalyptic number.
289141128 is the 24047-th triangular number and also the 12024-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 289141128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399016800).
289141128 is an abundant number, since it is smaller than the sum of its proper divisors (508892472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
289141128 is a wasteful number, since it uses less digits than its factorization.
289141128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 491 (or 484 counting only the distinct ones).
The product of its digits is 9216, while the sum is 36.
The square root of 289141128 is about 17004.1503169079. The cubic root of 289141128 is about 661.2565044273.
The spelling of 289141128 in words is "two hundred eighty-nine million, one hundred forty-one thousand, one hundred twenty-eight".
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