Base | Representation |
---|---|
bin | 1010001001110… |
… | …0011111010001 |
3 | 2222010111021211 |
4 | 2202130133101 |
5 | 41400142032 |
6 | 4120420121 |
7 | 1024646440 |
oct | 242343721 |
9 | 88114254 |
10 | 42584017 |
11 | 22046003 |
12 | 12317641 |
13 | 8a8ca58 |
14 | 5926d57 |
15 | 3b12747 |
hex | 289c7d1 |
42584017 has 16 divisors (see below), whose sum is σ = 51655680. Its totient is φ = 34314192.
The previous prime is 42583991. The next prime is 42584057. The reversal of 42584017 is 71048524.
42584017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a cyclic number.
It is not a de Polignac number, because 42584017 - 211 = 42581969 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 42584017.
It is not an unprimeable number, because it can be changed into a prime (42584057) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 7258 + ... + 11740.
It is an arithmetic number, because the mean of its divisors is an integer number (3228480).
Almost surely, 242584017 is an apocalyptic number.
It is an amenable number.
42584017 is a deficient number, since it is larger than the sum of its proper divisors (9071663).
42584017 is a wasteful number, since it uses less digits than its factorization.
42584017 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4572.
The product of its (nonzero) digits is 8960, while the sum is 31.
The square root of 42584017 is about 6525.6430334489. The cubic root of 42584017 is about 349.2064115046.
The spelling of 42584017 in words is "forty-two million, five hundred eighty-four thousand, seventeen".
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