Base | Representation |
---|---|
bin | 1010000100011… |
… | …1011100010100 |
3 | 2221110210110000 |
4 | 2201013130110 |
5 | 41303020133 |
6 | 4105131300 |
7 | 1021666026 |
oct | 241073424 |
9 | 87423400 |
10 | 42235668 |
11 | 21928312 |
12 | 12189b30 |
13 | 899a327 |
14 | 5876016 |
15 | 3a94413 |
hex | 2847714 |
42235668 has 60 divisors (see below), whose sum is σ = 112274932. Its totient is φ = 13841280.
The previous prime is 42235663. The next prime is 42235679. The reversal of 42235668 is 86653224.
It can be written as a sum of positive squares in 2 ways, for example, as 1633284 + 40602384 = 1278^2 + 6372^2 .
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42235663) 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 19 ways as a sum of consecutive naturals, for example, 18696 + ... + 20832.
Almost surely, 242235668 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 42235668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137466).
42235668 is an abundant number, since it is smaller than the sum of its proper divisors (70039264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42235668 is a wasteful number, since it uses less digits than its factorization.
42235668 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2214 (or 2203 counting only the distinct ones).
The product of its digits is 69120, while the sum is 36.
The square root of 42235668 is about 6498.8974449517. The cubic root of 42235668 is about 348.2516016408.
The spelling of 42235668 in words is "forty-two million, two hundred thirty-five thousand, six hundred sixty-eight".
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