| Base | Representation |
|---|---|
| bin | 1101011011001… |
| … | …0011111000000 |
| 3 | 10220221121202121 |
| 4 | 3112302133000 |
| 5 | 103403234400 |
| 6 | 5330454024 |
| 7 | 1252406161 |
| oct | 326623700 |
| 9 | 126847677 |
| 10 | 56305600 |
| 11 | 2986825a |
| 12 | 16a34314 |
| 13 | b885530 |
| 14 | 7699768 |
| 15 | 4e2321a |
| hex | 35b27c0 |
56305600 has 84 divisors (see below), whose sum is σ = 149259544. Its totient is φ = 20782080.
The previous prime is 56305597. The next prime is 56305603. The reversal of 56305600 is 650365.
56305600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (56305597) and next prime (56305603).
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a nialpdrome in base 13.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (56305603) 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 11 ways as a sum of consecutive naturals, for example, 19447 + ... + 22153.
Almost surely, 256305600 is an apocalyptic number.
56305600 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 56305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74629772).
56305600 is an abundant number, since it is smaller than the sum of its proper divisors (92953944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56305600 is a wasteful number, since it uses less digits than its factorization.
56305600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2742 (or 2727 counting only the distinct ones).
The product of its (nonzero) digits is 2700, while the sum is 25.
The square root of 56305600 is about 7503.7057511606. The cubic root of 56305600 is about 383.2809170086.
Adding to 56305600 its reverse (650365), we get a palindrome (56955965).
The spelling of 56305600 in words is "fifty-six million, three hundred five thousand, six hundred".
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