Base | Representation |
---|---|
bin | 1010001100110… |
… | …0110011101100 |
3 | 2222111112210000 |
4 | 2203030303230 |
5 | 41423010212 |
6 | 4124544300 |
7 | 1026432444 |
oct | 243146354 |
9 | 88445700 |
10 | 42781932 |
11 | 22170776 |
12 | 123b2090 |
13 | 8b2bb6b |
14 | 5979124 |
15 | 3b511dc |
hex | 28cccec |
42781932 has 60 divisors (see below), whose sum is σ = 116723376. Its totient is φ = 13638240.
The previous prime is 42781927. The next prime is 42781933. The reversal of 42781932 is 23918724.
42781932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (42781933) 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 19 ways as a sum of consecutive naturals, for example, 4582 + ... + 10322.
Almost surely, 242781932 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 42781932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58361688).
42781932 is an abundant number, since it is smaller than the sum of its proper divisors (73941444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42781932 is a wasteful number, since it uses less digits than its factorization.
42781932 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5780 (or 5769 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 42781932 is about 6540.7898605597. The cubic root of 42781932 is about 349.7465702812.
The spelling of 42781932 in words is "forty-two million, seven hundred eighty-one thousand, nine hundred thirty-two".
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