Base | Representation |
---|---|
bin | 111100111000011… |
… | …1000100010100000 |
3 | 12021100222220211210 |
4 | 1321300320202200 |
5 | 13140432421012 |
6 | 534413310120 |
7 | 101424001104 |
oct | 17160704240 |
9 | 5240886753 |
10 | 2042857632 |
11 | 95915a1a2 |
12 | 490195340 |
13 | 2673017ca |
14 | 155453904 |
15 | be52b23c |
hex | 79c388a0 |
2042857632 has 96 divisors (see below), whose sum is σ = 5798967552. Its totient is φ = 627236864.
The previous prime is 2042857601. The next prime is 2042857633. The reversal of 2042857632 is 2367582402.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (2042857633) 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 15 ways as a sum of consecutive naturals, for example, 63388 + ... + 90020.
It is an arithmetic number, because the mean of its divisors is an integer number (60405912).
Almost surely, 22042857632 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 2042857632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899483776).
2042857632 is an abundant number, since it is smaller than the sum of its proper divisors (3756109920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2042857632 is a wasteful number, since it uses less digits than its factorization.
2042857632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26710 (or 26702 counting only the distinct ones).
The product of its (nonzero) digits is 161280, while the sum is 39.
The square root of 2042857632 is about 45197.9826098466. The cubic root of 2042857632 is about 1268.8570600462.
The spelling of 2042857632 in words is "two billion, forty-two million, eight hundred fifty-seven thousand, six hundred thirty-two".
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