Base | Representation |
---|---|
bin | 1101101100011… |
… | …1000110000000 |
3 | 11000002011221021 |
4 | 3123013012000 |
5 | 104201013332 |
6 | 5411035224 |
7 | 1265135311 |
oct | 333070600 |
9 | 130064837 |
10 | 57438592 |
11 | 2a471512 |
12 | 1729bb14 |
13 | bb91143 |
14 | 78b2608 |
15 | 5098c97 |
hex | 36c7180 |
57438592 has 32 divisors (see below), whose sum is σ = 115172280. Its totient is φ = 28532736.
The previous prime is 57438571. The next prime is 57438593. The reversal of 57438592 is 29583475.
It is a tau number, because it is divible by the number of its divisors (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57438593) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19488 + ... + 22240.
Almost surely, 257438592 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 57438592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57586140).
57438592 is an abundant number, since it is smaller than the sum of its proper divisors (57733688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57438592 is a wasteful number, since it uses less digits than its factorization.
57438592 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2930 (or 2918 counting only the distinct ones).
The product of its digits is 302400, while the sum is 43.
The square root of 57438592 is about 7578.8252387821. The cubic root of 57438592 is about 385.8346809219.
The spelling of 57438592 in words is "fifty-seven million, four hundred thirty-eight thousand, five hundred ninety-two".
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