Base | Representation |
---|---|
bin | 1010000111011… |
… | …1011010100000 |
3 | 2221211202222111 |
4 | 2201313122200 |
5 | 41330312120 |
6 | 4113245104 |
7 | 1023444631 |
oct | 241673240 |
9 | 87752874 |
10 | 42432160 |
11 | 21a51a01 |
12 | 12263794 |
13 | 8a388b4 |
14 | 58c7888 |
15 | 3ad275a |
hex | 28776a0 |
42432160 has 48 divisors (see below), whose sum is σ = 100922976. Its totient is φ = 16858368.
The previous prime is 42432127. The next prime is 42432161. The reversal of 42432160 is 6123424.
It is a happy number.
It is not an unprimeable number, because it can be changed into a prime (42432161) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25267 + ... + 26893.
It is an arithmetic number, because the mean of its divisors is an integer number (2102562).
Almost surely, 242432160 is an apocalyptic number.
42432160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50461488).
42432160 is an abundant number, since it is smaller than the sum of its proper divisors (58490816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42432160 is a wasteful number, since it uses less digits than its factorization.
42432160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1805 (or 1797 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
The square root of 42432160 is about 6513.9972367203. The cubic root of 42432160 is about 348.7908205367.
Adding to 42432160 its reverse (6123424), we get a palindrome (48555584).
The spelling of 42432160 in words is "forty-two million, four hundred thirty-two thousand, one hundred sixty".
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