Base | Representation |
---|---|
bin | 1101010110011… |
… | …1111001000000 |
3 | 10220101002122110 |
4 | 3111213321000 |
5 | 103314000224 |
6 | 5320135320 |
7 | 1246664331 |
oct | 325477100 |
9 | 126332573 |
10 | 56000064 |
11 | 2967974a |
12 | 16907540 |
13 | b7a9443 |
14 | 761a288 |
15 | 4db2929 |
hex | 3567e40 |
56000064 has 56 divisors (see below), whose sum is σ = 148864320. Its totient is φ = 18578944.
The previous prime is 56000059. The next prime is 56000071. The reversal of 56000064 is 46000065.
56000064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 56000064.
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 7 ways as a sum of consecutive naturals, for example, 49942 + ... + 51050.
Almost surely, 256000064 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 56000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74432160).
56000064 is an abundant number, since it is smaller than the sum of its proper divisors (92864256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56000064 is a wasteful number, since it uses less digits than its factorization.
56000064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1387 (or 1377 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 21.
The square root of 56000064 is about 7483.3190497265. The cubic root of 56000064 is about 382.5863823016.
Subtracting from 56000064 its reverse (46000065), we obtain a palindrome (9999999).
The spelling of 56000064 in words is "fifty-six million, sixty-four", and thus it is an aban number and an eban number.
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