| Base | Representation |
|---|---|
| bin | 1101000111010… |
| … | …0110011110000 |
| 3 | 10211111111212000 |
| 4 | 3101310303300 |
| 5 | 103040120100 |
| 6 | 5242534000 |
| 7 | 1235346453 |
| oct | 321646360 |
| 9 | 124444760 |
| 10 | 55004400 |
| 11 | 29059690 |
| 12 | 16507300 |
| 13 | b51b1a9 |
| 14 | 743b49a |
| 15 | 4c67900 |
| hex | 3474cf0 |
55004400 has 240 divisors, whose sum is σ = 214033920. Its totient is φ = 13305600.
The previous prime is 55004399. The next prime is 55004413. The reversal of 55004400 is 440055.
It is a happy number.
55004400 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 (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
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 47 ways as a sum of consecutive naturals, for example, 118569 + ... + 119031.
It is an arithmetic number, because the mean of its divisors is an integer number (891808).
Almost surely, 255004400 is an apocalyptic number.
55004400 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 55004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107016960).
55004400 is an abundant number, since it is smaller than the sum of its proper divisors (159029520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55004400 is a wasteful number, since it uses less digits than its factorization.
55004400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 501 (or 484 counting only the distinct ones).
The product of its (nonzero) digits is 400, while the sum is 18.
The square root of 55004400 is about 7416.4951291024. The cubic root of 55004400 is about 380.3053870123.
Adding to 55004400 its reverse (440055), we get a palindrome (55444455).
The spelling of 55004400 in words is "fifty-five million, four thousand, four hundred".
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