Base | Representation |
---|---|
bin | 1010001111000… |
… | …11100101101010 |
3 | 12222120111012000 |
4 | 11013203211222 |
5 | 133440214413 |
6 | 12304231430 |
7 | 2061566460 |
oct | 507434552 |
9 | 188514160 |
10 | 85866858 |
11 | 44519050 |
12 | 2490b576 |
13 | 14a358bc |
14 | b592830 |
15 | 7812073 |
hex | 51e396a |
85866858 has 128 divisors (see below), whose sum is σ = 241367040. Its totient is φ = 21980160.
The previous prime is 85866857. The next prime is 85866919.
85866858 is a `hidden beast` number, since 8 + 586 + 6 + 8 + 58 = 666.
85866858 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (85866853) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444810 + ... + 445002.
It is an arithmetic number, because the mean of its divisors is an integer number (1885680).
Almost surely, 285866858 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 85866858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120683520).
85866858 is an abundant number, since it is smaller than the sum of its proper divisors (155500182).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85866858 is a wasteful number, since it uses less digits than its factorization.
85866858 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 329 (or 323 counting only the distinct ones).
The product of its digits is 3686400, while the sum is 54.
The square root of 85866858 is about 9266.4371794126. The cubic root of 85866858 is about 441.1725919847.
The spelling of 85866858 in words is "eighty-five million, eight hundred sixty-six thousand, eight hundred fifty-eight".
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