| Base | Representation |
|---|---|
| bin | 1101101010111… |
| … | …0011010010000 |
| 3 | 10222220001020200 |
| 4 | 3122232122100 |
| 5 | 104134244423 |
| 6 | 5404535200 |
| 7 | 1264234455 |
| oct | 332563220 |
| 9 | 128801220 |
| 10 | 57337488 |
| 11 | 2a40255a |
| 12 | 17251500 |
| 13 | bb57110 |
| 14 | 788782c |
| 15 | 5078d43 |
| hex | 36ae690 |
57337488 has 120 divisors (see below), whose sum is σ = 175014840. Its totient is φ = 17418240.
The previous prime is 57337487. The next prime is 57337493. The reversal of 57337488 is 88473375.
57337488 is a `hidden beast` number, since 573 + 3 + 74 + 8 + 8 = 666.
57337488 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 4 ways, for example, as 8225424 + 49112064 = 2868^2 + 7008^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57337487) 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 23 ways as a sum of consecutive naturals, for example, 203908 + ... + 204188.
It is an arithmetic number, because the mean of its divisors is an integer number (1458457).
Almost surely, 257337488 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 57337488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87507420).
57337488 is an abundant number, since it is smaller than the sum of its proper divisors (117677352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57337488 is a wasteful number, since it uses less digits than its factorization.
57337488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 417 (or 408 counting only the distinct ones).
The product of its digits is 564480, while the sum is 45.
The square root of 57337488 is about 7572.1521379328. The cubic root of 57337488 is about 385.6081645741.
It can be divided in two parts, 5733 and 7488, that multiplied together give a square (42928704 = 65522).
The spelling of 57337488 in words is "fifty-seven million, three hundred thirty-seven thousand, four hundred eighty-eight".
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