Base | Representation |
---|---|
bin | 1101000111001… |
… | …1101111100000 |
3 | 10211111021212020 |
4 | 3101303233200 |
5 | 103040000112 |
6 | 5242501440 |
7 | 1235330643 |
oct | 321635740 |
9 | 124437766 |
10 | 55000032 |
11 | 2905637a |
12 | 16504880 |
13 | b5191c9 |
14 | 7439a5a |
15 | 4c6648c |
hex | 3473be0 |
55000032 has 96 divisors (see below), whose sum is σ = 155457792. Its totient is φ = 16963584.
The previous prime is 55000031. The next prime is 55000069. The reversal of 55000032 is 23000055.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 54999975 and 55000020.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (55000031) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109093 + ... + 109595.
It is an arithmetic number, because the mean of its divisors is an integer number (1619352).
Almost surely, 255000032 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 55000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77728896).
55000032 is an abundant number, since it is smaller than the sum of its proper divisors (100457760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55000032 is a wasteful number, since it uses less digits than its factorization.
55000032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 600 (or 592 counting only the distinct ones).
The product of its (nonzero) digits is 150, while the sum is 15.
The square root of 55000032 is about 7416.2006445349. The cubic root of 55000032 is about 380.2953198304.
Adding to 55000032 its reverse (23000055), we get a palindrome (78000087).
The spelling of 55000032 in words is "fifty-five million, thirty-two", and thus it is an aban number and an uban number.
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