Base | Representation |
---|---|
bin | 1000100110010… |
… | …1001011111100 |
3 | 2111212100022102 |
4 | 2021211023330 |
5 | 33213103134 |
6 | 3325004232 |
7 | 615361550 |
oct | 211451374 |
9 | 74770272 |
10 | 36066044 |
11 | 193a3a53 |
12 | 100b3678 |
13 | 761a071 |
14 | 4b0b860 |
15 | 327637e |
hex | 22652fc |
36066044 has 36 divisors (see below), whose sum is σ = 76641936. Its totient is φ = 14544384.
The previous prime is 36066031. The next prime is 36066049. The reversal of 36066044 is 44066063.
36066044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×360660443 (a number of 24 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 36065998 and 36066016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36066049) 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, 5864 + ... + 10320.
Almost surely, 236066044 is an apocalyptic number.
36066044 is a gapful number since it is divisible by the number (34) 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 36066044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38320968).
36066044 is an abundant number, since it is smaller than the sum of its proper divisors (40575892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36066044 is a wasteful number, since it uses less digits than its factorization.
36066044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4502 (or 4483 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 29.
The square root of 36066044 is about 6005.5011447838. The cubic root of 36066044 is about 330.3945205039.
The spelling of 36066044 in words is "thirty-six million, sixty-six thousand, forty-four", and thus it is an eban number.
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