Base | Representation |
---|---|
bin | 1100110101101… |
… | …0011011010000 |
3 | 10202022202020111 |
4 | 3031122123100 |
5 | 102241112020 |
6 | 5202051104 |
7 | 1222461361 |
oct | 315323320 |
9 | 122282214 |
10 | 53847760 |
11 | 2843968a |
12 | 16049a94 |
13 | b2048a5 |
14 | 7219b68 |
15 | 4ad9d5a |
hex | 335a6d0 |
53847760 has 40 divisors (see below), whose sum is σ = 128257416. Its totient is φ = 21012480.
The previous prime is 53847737. The next prime is 53847763. The reversal of 53847760 is 6774835.
53847760 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 4 ways, for example, as 440896 + 53406864 = 664^2 + 7308^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53847763) 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 7 ways as a sum of consecutive naturals, for example, 4929 + ... + 11488.
Almost surely, 253847760 is an apocalyptic number.
It is an amenable number.
53847760 is an abundant number, since it is smaller than the sum of its proper divisors (74409656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53847760 is a wasteful number, since it uses less digits than its factorization.
53847760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16471 (or 16465 counting only the distinct ones).
The product of its (nonzero) digits is 141120, while the sum is 40.
The square root of 53847760 is about 7338.1032971743. The cubic root of 53847760 is about 377.6207762316.
The spelling of 53847760 in words is "fifty-three million, eight hundred forty-seven thousand, seven hundred sixty".
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