Base | Representation |
---|---|
bin | 1001000110101001… |
… | …0111010101000000 |
3 | 20022022110000000020 |
4 | 2101222113111000 |
5 | 20001103130140 |
6 | 1042255053440 |
7 | 114362654640 |
oct | 22152272500 |
9 | 6268400006 |
10 | 2443801920 |
11 | 104450a60a |
12 | 582511280 |
13 | 2cc3b3b51 |
14 | 1927c2520 |
15 | e48296d0 |
hex | 91a97540 |
2443801920 has 224 divisors, whose sum is σ = 9154338816. Its totient is φ = 540518400.
The previous prime is 2443801903. The next prime is 2443801931. The reversal of 2443801920 is 291083442.
It is a tau number, because it is divible by the number of its divisors (224).
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 31 ways as a sum of consecutive naturals, for example, 202455 + ... + 214185.
It is an arithmetic number, because the mean of its divisors is an integer number (40867584).
Almost surely, 22443801920 is an apocalyptic number.
2443801920 is a gapful number since it is divisible by the number (20) 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 2443801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577169408).
2443801920 is an abundant number, since it is smaller than the sum of its proper divisors (6710536896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2443801920 is a wasteful number, since it uses less digits than its factorization.
2443801920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11789 (or 11779 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 33.
The square root of 2443801920 is about 49434.8249718758. The cubic root of 2443801920 is about 1346.9619694632.
The spelling of 2443801920 in words is "two billion, four hundred forty-three million, eight hundred one thousand, nine hundred twenty".
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