Base | Representation |
---|---|
bin | 111111101011… |
… | …1011000000110 |
3 | 2022211021210000 |
4 | 1333113120012 |
5 | 32021404123 |
6 | 3151342130 |
7 | 553536135 |
oct | 177273006 |
9 | 68737700 |
10 | 33388038 |
11 | 17934a22 |
12 | b221946 |
13 | 6bc0148 |
14 | 461191c |
15 | 2de7b43 |
hex | 1fd7606 |
33388038 has 40 divisors (see below), whose sum is σ = 76569768. Its totient is φ = 10868256.
The previous prime is 33388037. The next prime is 33388049. The reversal of 33388038 is 83088333.
It is a super-2 number, since 2×333880382 = 2229522162978888, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 33387993 and 33388011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33388031) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4570 + ... + 9362.
Almost surely, 233388038 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33388038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38284884).
33388038 is an abundant number, since it is smaller than the sum of its proper divisors (43181730).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33388038 is a wasteful number, since it uses less digits than its factorization.
33388038 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4850 (or 4841 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 33388038 is about 5778.2383128424. The cubic root of 33388038 is about 322.0057545620.
The spelling of 33388038 in words is "thirty-three million, three hundred eighty-eight thousand, thirty-eight".
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