Base | Representation |
---|---|
bin | 1011111111100… |
… | …1101000000000 |
3 | 10111122210020000 |
4 | 2333321220000 |
5 | 100334234121 |
6 | 4554120000 |
7 | 1150406241 |
oct | 277715000 |
9 | 114583200 |
10 | 50305536 |
11 | 2643a326 |
12 | 14a20000 |
13 | a5644b8 |
14 | 6976cc8 |
15 | 463a526 |
hex | 2ff9a00 |
50305536 has 100 divisors (see below), whose sum is σ = 150272562. Its totient is φ = 16754688.
The previous prime is 50305523. The next prime is 50305537. The reversal of 50305536 is 63550305.
It is a happy number.
50305536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 49787136 + 518400 = 7056^2 + 720^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (50305537) 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 9 ways as a sum of consecutive naturals, for example, 40866 + ... + 42078.
Almost surely, 250305536 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 50305536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75136281).
50305536 is an abundant number, since it is smaller than the sum of its proper divisors (99967026).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
50305536 is an equidigital number, since it uses as much as digits as its factorization.
50305536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1243 (or 1218 counting only the distinct ones).
The product of its (nonzero) digits is 6750, while the sum is 27.
The square root of 50305536 is about 7092.6395650703. The cubic root of 50305536 is about 369.1520293635.
The spelling of 50305536 in words is "fifty million, three hundred five thousand, five hundred thirty-six".
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