Base | Representation |
---|---|
bin | 1010000111111… |
… | …0110001100010 |
3 | 2221220022100000 |
4 | 2201332301202 |
5 | 41332243211 |
6 | 4114040430 |
7 | 1023631545 |
oct | 241766142 |
9 | 87808300 |
10 | 42462306 |
11 | 21a72617 |
12 | 12279116 |
13 | 8a49533 |
14 | 58d485c |
15 | 3adb656 |
hex | 287ec62 |
42462306 has 48 divisors (see below), whose sum is σ = 97782048. Its totient is φ = 13802400.
The previous prime is 42462289. The next prime is 42462313. The reversal of 42462306 is 60326424.
42462306 is a `hidden beast` number, since 424 + 6 + 230 + 6 = 666.
42462306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 42462306.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18861 + ... + 20991.
It is an arithmetic number, because the mean of its divisors is an integer number (2037126).
Almost surely, 242462306 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42462306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48891024).
42462306 is an abundant number, since it is smaller than the sum of its proper divisors (55319742).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42462306 is a wasteful number, since it uses less digits than its factorization.
42462306 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2189 (or 2177 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
The square root of 42462306 is about 6516.3107660700. The cubic root of 42462306 is about 348.8734006600.
The spelling of 42462306 in words is "forty-two million, four hundred sixty-two thousand, three hundred six".
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