Base | Representation |
---|---|
bin | 1010001100001… |
… | …1110011001000 |
3 | 2222102200011100 |
4 | 2203003303020 |
5 | 41420320112 |
6 | 4124101400 |
7 | 1026220041 |
oct | 243036310 |
9 | 88380140 |
10 | 42745032 |
11 | 22145a80 |
12 | 12394860 |
13 | 8b18125 |
14 | 59698c8 |
15 | 3b452dc |
hex | 28c3cc8 |
42745032 has 96 divisors (see below), whose sum is σ = 130440960. Its totient is φ = 12528000.
The previous prime is 42745019. The next prime is 42745037. The reversal of 42745032 is 23054724.
It is a junction number, because it is equal to n+sod(n) for n = 42744987 and 42745005.
It is not an unprimeable number, because it can be changed into a prime (42745037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23682 + ... + 25422.
It is an arithmetic number, because the mean of its divisors is an integer number (1358760).
Almost surely, 242745032 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 42745032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65220480).
42745032 is an abundant number, since it is smaller than the sum of its proper divisors (87695928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42745032 is a wasteful number, since it uses less digits than its factorization.
42745032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1795 (or 1788 counting only the distinct ones).
The product of its (nonzero) digits is 6720, while the sum is 27.
The square root of 42745032 is about 6537.9684918176. The cubic root of 42745032 is about 349.6459876282.
Adding to 42745032 its reverse (23054724), we get a palindrome (65799756).
The spelling of 42745032 in words is "forty-two million, seven hundred forty-five thousand, thirty-two".
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