Base | Representation |
---|---|
bin | 1010000100011… |
… | …0101100111000 |
3 | 2221110122021120 |
4 | 2201012230320 |
5 | 41302421012 |
6 | 4105105240 |
7 | 1021654131 |
oct | 241065470 |
9 | 87418246 |
10 | 42232632 |
11 | 21926002 |
12 | 12188220 |
13 | 8998b30 |
14 | 5874c88 |
15 | 3a9358c |
hex | 2846b38 |
42232632 has 64 divisors (see below), whose sum is σ = 114401280. Its totient is φ = 12915072.
The previous prime is 42232627. The next prime is 42232637. The reversal of 42232632 is 23623224.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (42232627) and next prime (42232637).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42232637) 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 15 ways as a sum of consecutive naturals, for example, 69273 + ... + 69879.
It is an arithmetic number, because the mean of its divisors is an integer number (1787520).
Almost surely, 242232632 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 42232632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57200640).
42232632 is an abundant number, since it is smaller than the sum of its proper divisors (72168648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42232632 is a wasteful number, since it uses less digits than its factorization.
42232632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 852 (or 848 counting only the distinct ones).
The product of its digits is 3456, while the sum is 24.
The square root of 42232632 is about 6498.6638626721. The cubic root of 42232632 is about 348.2432570572.
Adding to 42232632 its reverse (23623224), we get a palindrome (65855856).
The spelling of 42232632 in words is "forty-two million, two hundred thirty-two thousand, six hundred thirty-two".
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