Base | Representation |
---|---|
bin | 1010000111011… |
… | …1011011100000 |
3 | 2221211210001212 |
4 | 2201313123200 |
5 | 41330312344 |
6 | 4113245252 |
7 | 1023445052 |
oct | 241673340 |
9 | 87753055 |
10 | 42432224 |
11 | 21a51a5a |
12 | 12263828 |
13 | 8a38933 |
14 | 58c78d2 |
15 | 3ad279e |
hex | 28776e0 |
42432224 has 48 divisors (see below), whose sum is σ = 86220288. Its totient is φ = 20547072.
The previous prime is 42432223. The next prime is 42432259. The reversal of 42432224 is 42223424.
42432224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 42432224.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42432223) 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 7 ways as a sum of consecutive naturals, for example, 215294 + ... + 215490.
It is an arithmetic number, because the mean of its divisors is an integer number (1796256).
Almost surely, 242432224 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 42432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43110144).
42432224 is an abundant number, since it is smaller than the sum of its proper divisors (43788064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42432224 is a wasteful number, since it uses less digits than its factorization.
42432224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 387 (or 379 counting only the distinct ones).
The product of its digits is 3072, while the sum is 23.
The square root of 42432224 is about 6514.0021492167. The cubic root of 42432224 is about 348.7909958958.
Adding to 42432224 its reverse (42223424), we get a palindrome (84655648).
The spelling of 42432224 in words is "forty-two million, four hundred thirty-two thousand, two hundred twenty-four".
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