Base | Representation |
---|---|
bin | 1101101011001… |
… | …0111100100000 |
3 | 10222220222201200 |
4 | 3122302330200 |
5 | 104140343224 |
6 | 5405201200 |
7 | 1264342563 |
oct | 332627440 |
9 | 128828650 |
10 | 57356064 |
11 | 2a415507 |
12 | 17260200 |
13 | bb626cc |
14 | 78904da |
15 | 507e5c9 |
hex | 36b2f20 |
57356064 has 36 divisors (see below), whose sum is σ = 163107126. Its totient is φ = 19118592.
The previous prime is 57356063. The next prime is 57356069. The reversal of 57356064 is 46065375.
57356064 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., 42146064 + 15210000 = 6492^2 + 3900^2 .
It is a tau number, because it is divible by the number of its divisors (36).
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 (57356063) 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 5 ways as a sum of consecutive naturals, for example, 99289 + ... + 99864.
Almost surely, 257356064 is an apocalyptic number.
It is an amenable number.
57356064 is an abundant number, since it is smaller than the sum of its proper divisors (105751062).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57356064 is a wasteful number, since it uses less digits than its factorization.
57356064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 199169 (or 199158 counting only the distinct ones).
The product of its (nonzero) digits is 75600, while the sum is 36.
The square root of 57356064 is about 7573.3786383621. The cubic root of 57356064 is about 385.6498027419.
The spelling of 57356064 in words is "fifty-seven million, three hundred fifty-six thousand, sixty-four".
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