Base | Representation |
---|---|
bin | 1010001011111… |
… | …1011011000000 |
3 | 2222101202120100 |
4 | 2202333123000 |
5 | 41414231404 |
6 | 4123442400 |
7 | 1026113550 |
oct | 242773300 |
9 | 88352510 |
10 | 42727104 |
11 | 22133562 |
12 | 12386400 |
13 | 8b0cc14 |
14 | 5963160 |
15 | 3b3ed39 |
hex | 28bf6c0 |
42727104 has 84 divisors (see below), whose sum is σ = 139978384. Its totient is φ = 12206592.
The previous prime is 42727099. The next prime is 42727109. The reversal of 42727104 is 40172724.
It is a happy number.
42727104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (42727099) and next prime (42727109).
It is a tau number, because it is divible by the number of its divisors (84).
It is not an unprimeable number, because it can be changed into a prime (42727109) 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 11 ways as a sum of consecutive naturals, for example, 1267 + ... + 9330.
Almost surely, 242727104 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 42727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69989192).
42727104 is an abundant number, since it is smaller than the sum of its proper divisors (97251280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42727104 is a wasteful number, since it uses less digits than its factorization.
42727104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10622 (or 10609 counting only the distinct ones).
The product of its (nonzero) digits is 3136, while the sum is 27.
The square root of 42727104 is about 6536.5972799309. The cubic root of 42727104 is about 349.5970982833.
Adding to 42727104 its reverse (40172724), we get a palindrome (82899828).
The spelling of 42727104 in words is "forty-two million, seven hundred twenty-seven thousand, one hundred four".
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