Base | Representation |
---|---|
bin | 111110001110000011100 |
3 | 10211120201120 |
4 | 13301300130 |
5 | 1010220222 |
6 | 111410540 |
7 | 23221026 |
oct | 7616034 |
9 | 3746646 |
10 | 2038812 |
11 | 1172876 |
12 | 823a50 |
13 | 564cc9 |
14 | 3b1016 |
15 | 2a415c |
hex | 1f1c1c |
2038812 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 635008.
The previous prime is 2038801. The next prime is 2038819. The reversal of 2038812 is 2188302.
2038812 = T168 + T169 + ... + T256.
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2038819) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22864 + ... + 22952.
It is an arithmetic number, because the mean of its divisors is an integer number (105840).
22038812 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 2038812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).
2038812 is an abundant number, since it is smaller than the sum of its proper divisors (3041508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2038812 is a wasteful number, since it uses less digits than its factorization.
2038812 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 202 (or 200 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 24.
The square root of 2038812 is about 1427.8697419583. The cubic root of 2038812 is about 126.8018900626.
It can be divided in two parts, 2038 and 812, that added together give a triangular number (2850 = T75).
The spelling of 2038812 in words is "two million, thirty-eight thousand, eight hundred twelve".
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