Base | Representation |
---|---|
bin | 1101000111010… |
… | …1000100111100 |
3 | 10211111120100202 |
4 | 3101311010330 |
5 | 103040134000 |
6 | 5242543032 |
7 | 1235352614 |
oct | 321650474 |
9 | 124446322 |
10 | 55005500 |
11 | 2905a4a0 |
12 | 16507a78 |
13 | b51b844 |
14 | 743ba44 |
15 | 4c67dd5 |
hex | 347513c |
55005500 has 96 divisors (see below), whose sum is σ = 133818048. Its totient is φ = 19584000.
The previous prime is 55005481. The next prime is 55005521. The reversal of 55005500 is 550055.
It is a happy number.
55005500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a zygodrome in base 10.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 401432 + ... + 401568.
It is an arithmetic number, because the mean of its divisors is an integer number (1393938).
Almost surely, 255005500 is an apocalyptic number.
55005500 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 55005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66909024).
55005500 is an abundant number, since it is smaller than the sum of its proper divisors (78812548).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55005500 is a wasteful number, since it uses less digits than its factorization.
55005500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 240 (or 228 counting only the distinct ones).
The product of its (nonzero) digits is 625, while the sum is 20.
The square root of 55005500 is about 7416.5692877502. The cubic root of 55005500 is about 380.3079221618.
Adding to 55005500 its reverse (550055), we get a palindrome (55555555).
Subtracting from 55005500 its reverse (550055), we obtain a palindrome (54455445).
Multiplying 55005500 by its reverse (550055), we get a square (30256050302500 = 55005502).
55005500 divided by its reverse (550055) gives a square (100 = 102).
The spelling of 55005500 in words is "fifty-five million, five thousand, five hundred".
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