| Base | Representation |
|---|---|
| bin | 11110110110111… |
| … | …10100100000000 |
| 3 | 200001002111222000 |
| 4 | 33123132210000 |
| 5 | 1012232030222 |
| 6 | 41404144000 |
| 7 | 6262166463 |
| oct | 1733364400 |
| 9 | 601074860 |
| 10 | 258861312 |
| 11 | 123136376 |
| 12 | 72838000 |
| 13 | 41825b98 |
| 14 | 265452da |
| 15 | 17ad49ac |
| hex | f6de900 |
258861312 has 144 divisors (see below), whose sum is σ = 810895680. Its totient is φ = 81174528.
The previous prime is 258861311. The next prime is 258861347. The reversal of 258861312 is 213168852.
It is a happy number.
258861312 is a `hidden beast` number, since 2 + 588 + 61 + 3 + 12 = 666.
258861312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×2588613122 = 134018357700722688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (258861311) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116403 + ... + 118605.
It is an arithmetic number, because the mean of its divisors is an integer number (5631220).
Almost surely, 2258861312 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 258861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405447840).
258861312 is an abundant number, since it is smaller than the sum of its proper divisors (552034368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
258861312 is a wasteful number, since it uses less digits than its factorization.
258861312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2245 (or 2225 counting only the distinct ones).
The product of its digits is 23040, while the sum is 36.
The square root of 258861312 is about 16089.1675359541. The cubic root of 258861312 is about 637.3173123583.
The spelling of 258861312 in words is "two hundred fifty-eight million, eight hundred sixty-one thousand, three hundred twelve".
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