Base | Representation |
---|---|
bin | 1011011000111… |
… | …0000111101000 |
3 | 10022212212102200 |
4 | 2312032013220 |
5 | 44212034130 |
6 | 4423500200 |
7 | 1120010265 |
oct | 266160750 |
9 | 108785380 |
10 | 47768040 |
11 | 24a66921 |
12 | 13bb7660 |
13 | 9b86518 |
14 | 64b626c |
15 | 42d8760 |
hex | 2d8e1e8 |
47768040 has 48 divisors (see below), whose sum is σ = 155247300. Its totient is φ = 12738048.
The previous prime is 47768009. The next prime is 47768047. The reversal of 47768040 is 4086774.
It is a happy number.
47768040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 41447844 + 6320196 = 6438^2 + 2514^2 .
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 = 47767986 and 47768004.
It is not an unprimeable number, because it can be changed into a prime (47768047) 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 11 ways as a sum of consecutive naturals, for example, 65985 + ... + 66704.
Almost surely, 247768040 is an apocalyptic number.
47768040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
47768040 is an abundant number, since it is smaller than the sum of its proper divisors (107479260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47768040 is a wasteful number, since it uses less digits than its factorization.
47768040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132706 (or 132699 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 47768040 is about 6911.4426858652. The cubic root of 47768040 is about 362.8377573351.
The spelling of 47768040 in words is "forty-seven million, seven hundred sixty-eight thousand, forty".
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