Base | Representation |
---|---|
bin | 1010000100011… |
… | …1100010100000 |
3 | 2221110210222200 |
4 | 2201013202200 |
5 | 41303023224 |
6 | 4105133200 |
7 | 1022000133 |
oct | 241074240 |
9 | 87423880 |
10 | 42236064 |
11 | 21928642 |
12 | 1218a200 |
13 | 899a570 |
14 | 587621a |
15 | 3a945c9 |
hex | 28478a0 |
42236064 has 144 divisors (see below), whose sum is σ = 134152200. Its totient is φ = 12515328.
The previous prime is 42236057. The next prime is 42236087. The reversal of 42236064 is 46063224.
It can be written as a sum of positive squares in 4 ways, for example, as 24088464 + 18147600 = 4908^2 + 4260^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108382 + ... + 108770.
Almost surely, 242236064 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 42236064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67076100).
42236064 is an abundant number, since it is smaller than the sum of its proper divisors (91916136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42236064 is a wasteful number, since it uses less digits than its factorization.
42236064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 447 (or 436 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
The square root of 42236064 is about 6498.9279115866. The cubic root of 42236064 is about 348.2526900353.
Adding to 42236064 its reverse (46063224), we get a palindrome (88299288).
The spelling of 42236064 in words is "forty-two million, two hundred thirty-six thousand, sixty-four".
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