Base | Representation |
---|---|
bin | 1101000111011… |
… | …1011100100000 |
3 | 10211112001200000 |
4 | 3101313130200 |
5 | 103040441300 |
6 | 5243100000 |
7 | 1235423112 |
oct | 321673440 |
9 | 124461600 |
10 | 55015200 |
11 | 29066809 |
12 | 16511600 |
13 | b523096 |
14 | 74413b2 |
15 | 4c6ac00 |
hex | 3477720 |
55015200 has 216 divisors, whose sum is σ = 201893328. Its totient is φ = 14618880.
The previous prime is 55015193. The next prime is 55015201. The reversal of 55015200 is 251055.
55015200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (216).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (55015201) 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 35 ways as a sum of consecutive naturals, for example, 194259 + ... + 194541.
Almost surely, 255015200 is an apocalyptic number.
55015200 is a gapful number since it is divisible by the number (50) 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 55015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100946664).
55015200 is an abundant number, since it is smaller than the sum of its proper divisors (146878128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55015200 is a wasteful number, since it uses less digits than its factorization.
55015200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 318 (or 293 counting only the distinct ones).
The product of its (nonzero) digits is 250, while the sum is 18.
The square root of 55015200 is about 7417.2232000931. The cubic root of 55015200 is about 380.3302761084.
Adding to 55015200 its reverse (251055), we get a palindrome (55266255).
It can be divided in two parts, 5501 and 5200, that added together give a palindrome (10701).
The spelling of 55015200 in words is "fifty-five million, fifteen thousand, two hundred".
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