Base | Representation |
---|---|
bin | 1101101010110… |
… | …0111010010000 |
3 | 10222212201211010 |
4 | 3122230322100 |
5 | 104134100334 |
6 | 5404450520 |
7 | 1264210530 |
oct | 332547220 |
9 | 128781733 |
10 | 57331344 |
11 | 2a3a8984 |
12 | 17249a40 |
13 | bb54395 |
14 | 78854c0 |
15 | 50770e9 |
hex | 36ace90 |
57331344 has 80 divisors (see below), whose sum is σ = 179238528. Its totient is φ = 15415296.
The previous prime is 57331333. The next prime is 57331367. The reversal of 57331344 is 44313375.
57331344 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 an unprimeable number.
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, 694 + ... + 10730.
Almost surely, 257331344 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 57331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89619264).
57331344 is an abundant number, since it is smaller than the sum of its proper divisors (121907184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57331344 is a wasteful number, since it uses less digits than its factorization.
57331344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10072 (or 10066 counting only the distinct ones).
The product of its digits is 15120, while the sum is 30.
The square root of 57331344 is about 7571.7464299856. The cubic root of 57331344 is about 385.5943907978.
It can be divided in two parts, 57331 and 344, that added together give a palindrome (57675).
The spelling of 57331344 in words is "fifty-seven million, three hundred thirty-one thousand, three hundred forty-four".
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