Base | Representation |
---|---|
bin | 1101100111111… |
… | …0111000000000 |
3 | 10222112011011102 |
4 | 3121332320000 |
5 | 104112032114 |
6 | 5400433532 |
7 | 1262464016 |
oct | 331767000 |
9 | 128464142 |
10 | 57142784 |
11 | 2a28a246 |
12 | 171788a8 |
13 | bab95ca |
14 | 78368b6 |
15 | 503b2de |
hex | 367ee00 |
57142784 has 40 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 28389376.
The previous prime is 57142783. The next prime is 57142793. The reversal of 57142784 is 48724175.
57142784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57142781) 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 3 ways as a sum of consecutive naturals, for example, 119057 + ... + 119535.
It is an arithmetic number, because the mean of its divisors is an integer number (2872584).
Almost surely, 257142784 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 57142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).
57142784 is an abundant number, since it is smaller than the sum of its proper divisors (57760576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57142784 is an equidigital number, since it uses as much as digits as its factorization.
57142784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 730 (or 714 counting only the distinct ones).
The product of its digits is 62720, while the sum is 38.
The square root of 57142784 is about 7559.2846222377. The cubic root of 57142784 is about 385.1711927710.
The spelling of 57142784 in words is "fifty-seven million, one hundred forty-two thousand, seven hundred eighty-four".
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