Base | Representation |
---|---|
bin | 111101000101000… |
… | …0101010010010000 |
3 | 12021211102112022100 |
4 | 1322022011102100 |
5 | 13144130312230 |
6 | 535211040400 |
7 | 101534103033 |
oct | 17212052220 |
9 | 5254375270 |
10 | 2049463440 |
11 | 961961242 |
12 | 492440100 |
13 | 2687a547b |
14 | 15629301a |
15 | bedd3660 |
hex | 7a285490 |
2049463440 has 120 divisors (see below), whose sum is σ = 6897683520. Its totient is φ = 545340672.
The previous prime is 2049463439. The next prime is 2049463447. The reversal of 2049463440 is 443649402.
2049463440 is a `hidden beast` number, since 204 + 9 + 4 + 6 + 3 + 440 = 666.
It is a Cunningham number, because it is equal to 452712-1.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2049463395 and 2049463404.
It is not an unprimeable number, because it can be changed into a prime (2049463447) 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, 359331 + ... + 364989.
It is an arithmetic number, because the mean of its divisors is an integer number (57480696).
Almost surely, 22049463440 is an apocalyptic number.
2049463440 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 2049463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448841760).
2049463440 is an abundant number, since it is smaller than the sum of its proper divisors (4848220080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2049463440 is a wasteful number, since it uses less digits than its factorization.
2049463440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6181 (or 6172 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The square root of 2049463440 is about 45270.9999889554. Note that the first 4 decimals coincide. The cubic root of 2049463440 is about 1270.2232521323.
The spelling of 2049463440 in words is "two billion, forty-nine million, four hundred sixty-three thousand, four hundred forty".
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