Base | Representation |
---|---|
bin | 10000110110101000… |
… | …10100111010000000 |
3 | 212100120212121201221 |
4 | 20123110110322000 |
5 | 122012322413221 |
6 | 4053503204424 |
7 | 440136560410 |
oct | 103324247200 |
9 | 25316777657 |
10 | 9048247936 |
11 | 3923555662 |
12 | 19062a6714 |
13 | b12774080 |
14 | 61b9b4640 |
15 | 37e55c541 |
hex | 21b514e80 |
9048247936 has 128 divisors (see below), whose sum is σ = 22468723200. Its totient is φ = 3533856768.
The previous prime is 9048247883. The next prime is 9048247939. The reversal of 9048247936 is 6397428409.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×90482479362 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (52).
It is not an unprimeable number, because it can be changed into a prime (9048247939) 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, 915276 + ... + 925108.
It is an arithmetic number, because the mean of its divisors is an integer number (175536900).
Almost surely, 29048247936 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 9048247936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11234361600).
9048247936 is an abundant number, since it is smaller than the sum of its proper divisors (13420475264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9048247936 is a wasteful number, since it uses less digits than its factorization.
9048247936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9946 (or 9934 counting only the distinct ones).
The product of its (nonzero) digits is 2612736, while the sum is 52.
The square root of 9048247936 is about 95122.2788625252. The cubic root of 9048247936 is about 2083.7942284025.
The spelling of 9048247936 in words is "nine billion, forty-eight million, two hundred forty-seven thousand, nine hundred thirty-six".
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