Base | Representation |
---|---|
bin | 1010111011001… |
… | …1000101110000 |
3 | 10012020000101222 |
4 | 2232303011300 |
5 | 43212303240 |
6 | 4314044212 |
7 | 1064324525 |
oct | 256630560 |
9 | 105200358 |
10 | 45822320 |
11 | 23957a95 |
12 | 13419668 |
13 | 96549cb |
14 | 612b14c |
15 | 4051eb5 |
hex | 2bb3170 |
45822320 has 40 divisors (see below), whose sum is σ = 110216160. Its totient is φ = 17696000.
The previous prime is 45822313. The next prime is 45822353. The reversal of 45822320 is 2322854.
45822320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (40).
It is a self number, because there is not a number n which added to its sum of digits gives 45822320.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 7556 + ... + 12195.
It is an arithmetic number, because the mean of its divisors is an integer number (2755404).
Almost surely, 245822320 is an apocalyptic number.
45822320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
45822320 is an abundant number, since it is smaller than the sum of its proper divisors (64393840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45822320 is a wasteful number, since it uses less digits than its factorization.
45822320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19793 (or 19787 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 26.
The square root of 45822320 is about 6769.2185664226. The cubic root of 45822320 is about 357.8428614486.
The spelling of 45822320 in words is "forty-five million, eight hundred twenty-two thousand, three hundred twenty".
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