Base | Representation |
---|---|
bin | 10001001110100… |
… | …010010000000000 |
3 | 202010211212222200 |
4 | 101032202100000 |
5 | 1042442213401 |
6 | 44402433200 |
7 | 10106440404 |
oct | 2116422000 |
9 | 663755880 |
10 | 289022976 |
11 | 139167270 |
12 | 80962800 |
13 | 47b56618 |
14 | 2a557104 |
15 | 1a591686 |
hex | 113a2400 |
289022976 has 132 divisors (see below), whose sum is σ = 910734864. Its totient is φ = 87552000.
The previous prime is 289022963. The next prime is 289022999. The reversal of 289022976 is 679220982.
It is a tau number, because it is divible by the number of its divisors (132).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99951 + ... + 102801.
Almost surely, 2289022976 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 289022976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455367432).
289022976 is an abundant number, since it is smaller than the sum of its proper divisors (621711888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
289022976 is a wasteful number, since it uses less digits than its factorization.
289022976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2888 (or 2867 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The square root of 289022976 is about 17000.6757512753. The cubic root of 289022976 is about 661.1664222087.
It can be divided in two parts, 28902 and 2976, that added together give a triangular number (31878 = T252).
The spelling of 289022976 in words is "two hundred eighty-nine million, twenty-two thousand, nine hundred seventy-six".
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