Base | Representation |
---|---|
bin | 111110111110… |
… | …1111111110000 |
3 | 2022010200120200 |
4 | 1331331333300 |
5 | 31423200221 |
6 | 3135435200 |
7 | 550452603 |
oct | 175757760 |
9 | 68120520 |
10 | 33021936 |
11 | 17704962 |
12 | b085b00 |
13 | 6ac260c |
14 | 455833a |
15 | 2d74426 |
hex | 1f7dff0 |
33021936 has 60 divisors (see below), whose sum is σ = 94582488. Its totient is φ = 10749312.
The previous prime is 33021931. The next prime is 33021959. The reversal of 33021936 is 63912033.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33021931) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3526 + ... + 8858.
Almost surely, 233021936 is an apocalyptic number.
33021936 is a gapful number since it is divisible by the number (36) 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 33021936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47291244).
33021936 is an abundant number, since it is smaller than the sum of its proper divisors (61560552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33021936 is a wasteful number, since it uses less digits than its factorization.
33021936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5390 (or 5381 counting only the distinct ones).
The product of its (nonzero) digits is 2916, while the sum is 27.
The square root of 33021936 is about 5746.4716130857. The cubic root of 33021936 is about 320.8244884427.
Adding to 33021936 its reverse (63912033), we get a palindrome (96933969).
The spelling of 33021936 in words is "thirty-three million, twenty-one thousand, nine hundred thirty-six".
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