Base | Representation |
---|---|
bin | 1101101011111… |
… | …0111000000000 |
3 | 11000000110202110 |
4 | 3122332320000 |
5 | 104143424203 |
6 | 5410215320 |
7 | 1264635210 |
oct | 332767000 |
9 | 130013673 |
10 | 57404928 |
11 | 2a449199 |
12 | 17284540 |
13 | bb7ba19 |
14 | 78a4240 |
15 | 508dd03 |
hex | 36bee00 |
57404928 has 160 divisors (see below), whose sum is σ = 184631040. Its totient is φ = 15482880.
The previous prime is 57404927. The next prime is 57404929. The reversal of 57404928 is 82940475.
57404928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (57404927) and next prime (57404929).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57404927) 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 15 ways as a sum of consecutive naturals, for example, 204148 + ... + 204428.
It is an arithmetic number, because the mean of its divisors is an integer number (1153944).
Almost surely, 257404928 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 57404928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92315520).
57404928 is an abundant number, since it is smaller than the sum of its proper divisors (127226112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57404928 is a wasteful number, since it uses less digits than its factorization.
57404928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 328 (or 312 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 39.
The square root of 57404928 is about 7576.6039885954. The cubic root of 57404928 is about 385.7592886547.
The spelling of 57404928 in words is "fifty-seven million, four hundred four thousand, nine hundred twenty-eight".
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