Base | Representation |
---|---|
bin | 111110000100100001000 |
3 | 10211100000200 |
4 | 13300210020 |
5 | 1010041203 |
6 | 111332200 |
7 | 23200551 |
oct | 7604410 |
9 | 3740020 |
10 | 2033928 |
11 | 116a136 |
12 | 821060 |
13 | 562a10 |
14 | 3ad328 |
15 | 2a29a3 |
hex | 1f0908 |
2033928 has 96 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 599040.
The previous prime is 2033903. The next prime is 2033929. The reversal of 2033928 is 8293302.
It can be written as a sum of positive squares in 4 ways, for example, as 1077444 + 956484 = 1038^2 + 978^2 .
It is a zygodrome in base 6.
It is not an unprimeable number, because it can be changed into a prime (2033929) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38350 + ... + 38402.
22033928 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 2033928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820).
2033928 is an abundant number, since it is smaller than the sum of its proper divisors (4157712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2033928 is a wasteful number, since it uses less digits than its factorization.
2033928 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 119 (or 112 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The square root of 2033928 is about 1426.1584764675. The cubic root of 2033928 is about 126.7005572596.
The spelling of 2033928 in words is "two million, thirty-three thousand, nine hundred twenty-eight".
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