Base | Representation |
---|---|
bin | 1010001100101… |
… | …1100110110001 |
3 | 2222111022000200 |
4 | 2203023212301 |
5 | 41422331014 |
6 | 4124505413 |
7 | 1026412212 |
oct | 243134661 |
9 | 88438020 |
10 | 42777009 |
11 | 22168000 |
12 | 123ab269 |
13 | 8b29852 |
14 | 5977409 |
15 | 3b4ea09 |
hex | 28cb9b1 |
42777009 has 24 divisors (see below), whose sum is σ = 67982304. Its totient is φ = 25918200.
The previous prime is 42776983. The next prime is 42777011. The reversal of 42777009 is 90077724.
42777009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 42777009 - 25 = 42776977 is a prime.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (42777089) 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 23 ways as a sum of consecutive naturals, for example, 10194 + ... + 13764.
It is an arithmetic number, because the mean of its divisors is an integer number (2832596).
Almost surely, 242777009 is an apocalyptic number.
It is an amenable number.
42777009 is a deficient number, since it is larger than the sum of its proper divisors (25205295).
42777009 is a wasteful number, since it uses less digits than its factorization.
42777009 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3610 (or 3585 counting only the distinct ones).
The product of its (nonzero) digits is 24696, while the sum is 36.
The square root of 42777009 is about 6540.4135190369. The cubic root of 42777009 is about 349.7331544275.
The spelling of 42777009 in words is "forty-two million, seven hundred seventy-seven thousand, nine".
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