Base | Representation |
---|---|
bin | 1010000100111… |
… | …0000111111010 |
3 | 2221112011222120 |
4 | 2201032013322 |
5 | 41304404114 |
6 | 4105502110 |
7 | 1022141562 |
oct | 241160772 |
9 | 87464876 |
10 | 42263034 |
11 | 21946930 |
12 | 121a1936 |
13 | 89a9918 |
14 | 5881da2 |
15 | 3a9c5a9 |
hex | 284e1fa |
42263034 has 64 divisors (see below), whose sum is σ = 97044480. Its totient is φ = 12152000.
The previous prime is 42263027. The next prime is 42263047. The reversal of 42263034 is 43036224.
It is a happy number.
42263034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 42262995 and 42263013.
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 31 ways as a sum of consecutive naturals, for example, 135739 + ... + 136049.
It is an arithmetic number, because the mean of its divisors is an integer number (1516320).
Almost surely, 242263034 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42263034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48522240).
42263034 is an abundant number, since it is smaller than the sum of its proper divisors (54781446).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42263034 is a wasteful number, since it uses less digits than its factorization.
42263034 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 427.
The product of its (nonzero) digits is 3456, while the sum is 24.
The square root of 42263034 is about 6501.0025380706. The cubic root of 42263034 is about 348.3268002916.
Adding to 42263034 its reverse (43036224), we get a palindrome (85299258).
It can be divided in two parts, 4226 and 3034, that added together give a triangular number (7260 = T120).
The spelling of 42263034 in words is "forty-two million, two hundred sixty-three thousand, thirty-four".
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