| Base | Representation |
|---|---|
| bin | 110011001101… |
| … | …0111000100000 |
| 3 | 1212112001122000 |
| 4 | 1212122320200 |
| 5 | 23333130200 |
| 6 | 2355244000 |
| 7 | 444132246 |
| oct | 146327040 |
| 9 | 55461560 |
| 10 | 26848800 |
| 11 | 141789a0 |
| 12 | 8ba9600 |
| 13 | 5740884 |
| 14 | 37cc796 |
| 15 | 2555300 |
| hex | 199ae20 |
26848800 has 288 divisors, whose sum is σ = 106868160. Its totient is φ = 6451200.
The previous prime is 26848777. The next prime is 26848807. The reversal of 26848800 is 884862.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×268488002 = 1441716122880000, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (26848807) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237544 + ... + 237656.
It is an arithmetic number, because the mean of its divisors is an integer number (371070).
Almost surely, 226848800 is an apocalyptic number.
26848800 is a gapful number since it is divisible by the number (20) 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 26848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).
26848800 is an abundant number, since it is smaller than the sum of its proper divisors (80019360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
26848800 is a wasteful number, since it uses less digits than its factorization.
26848800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 153 (or 134 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The square root of 26848800 is about 5181.5827697722. The cubic root of 26848800 is about 299.4389514023.
The spelling of 26848800 in words is "twenty-six million, eight hundred forty-eight thousand, eight hundred".
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