Base | Representation |
---|---|
bin | 1100000110000… |
… | …0101000100000 |
3 | 10112110012222200 |
4 | 3001200220200 |
5 | 100441234311 |
6 | 5011133200 |
7 | 1154114313 |
oct | 301405040 |
9 | 115405880 |
10 | 50727456 |
11 | 266a831a |
12 | 14ba4200 |
13 | a681560 |
14 | 6a4697a |
15 | 46c0556 |
hex | 3060a20 |
50727456 has 144 divisors (see below), whose sum is σ = 164697624. Its totient is φ = 14671872.
The previous prime is 50727451. The next prime is 50727461. The reversal of 50727456 is 65472705.
It is an interprime number because it is at equal distance from previous prime (50727451) and next prime (50727461).
It can be written as a sum of positive squares in 4 ways, for example, as 41216400 + 9511056 = 6420^2 + 3084^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an alternating number because its digits alternate between odd and even.
It is a self number, because there is not a number n which added to its sum of digits gives 50727456.
It is not an unprimeable number, because it can be changed into a prime (50727451) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63250 + ... + 64046.
Almost surely, 250727456 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 50727456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82348812).
50727456 is an abundant number, since it is smaller than the sum of its proper divisors (113970168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
50727456 is a wasteful number, since it uses less digits than its factorization.
50727456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 843 (or 832 counting only the distinct ones).
The product of its (nonzero) digits is 58800, while the sum is 36.
The square root of 50727456 is about 7122.3209700209. The cubic root of 50727456 is about 370.1812017245.
The spelling of 50727456 in words is "fifty million, seven hundred twenty-seven thousand, four hundred fifty-six".
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