Base | Representation |
---|---|
bin | 1010001111001… |
… | …1111001010000 |
3 | 2222210200101122 |
4 | 2203303321100 |
5 | 41443121112 |
6 | 4132221412 |
7 | 1031000300 |
oct | 243637120 |
9 | 88720348 |
10 | 42942032 |
11 | 2226aa91 |
12 | 1246a868 |
13 | 8b869b3 |
14 | 59bb600 |
15 | 3b83872 |
hex | 28f3e50 |
42942032 has 30 divisors (see below), whose sum is σ = 96785658. Its totient is φ = 18403392.
The previous prime is 42942023. The next prime is 42942049. The reversal of 42942032 is 23024924.
42942032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 42562576 + 379456 = 6524^2 + 616^2 .
It is a super-2 number, since 2×429420322 = 3688036224578048, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 42941992 and 42942010.
It is a congruent number.
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 5 ways as a sum of consecutive naturals, for example, 26603 + ... + 28170.
Almost surely, 242942032 is an apocalyptic number.
It is an amenable number.
42942032 is an abundant number, since it is smaller than the sum of its proper divisors (53843626).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42942032 is a wasteful number, since it uses less digits than its factorization.
42942032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54795 (or 54782 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 26.
The square root of 42942032 is about 6553.0170150855. The cubic root of 42942032 is about 350.1823050260.
Adding to 42942032 its reverse (23024924), we get a palindrome (65966956).
The spelling of 42942032 in words is "forty-two million, nine hundred forty-two thousand, thirty-two".
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