Base | Representation |
---|---|
bin | 1101100110011… |
… | …1000101000000 |
3 | 10222100012110100 |
4 | 3121213011000 |
5 | 104100422222 |
6 | 5354402400 |
7 | 1261606602 |
oct | 331470500 |
9 | 128305410 |
10 | 57045312 |
11 | 2a222a95 |
12 | 17130400 |
13 | ba8412c |
14 | 780d172 |
15 | 501c4ac |
hex | 3667140 |
57045312 has 84 divisors (see below), whose sum is σ = 165357556. Its totient is φ = 18800640.
The previous prime is 57045299. The next prime is 57045323. The reversal of 57045312 is 21354075.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 29419776 + 27625536 = 5424^2 + 5256^2 .
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 55362 + ... + 56382.
Almost surely, 257045312 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 57045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82678778).
57045312 is an abundant number, since it is smaller than the sum of its proper divisors (108312244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57045312 is a wasteful number, since it uses less digits than its factorization.
57045312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1136 (or 1123 counting only the distinct ones).
The product of its (nonzero) digits is 4200, while the sum is 27.
The square root of 57045312 is about 7552.8346996343. The cubic root of 57045312 is about 384.9520646453.
Adding to 57045312 its reverse (21354075), we get a palindrome (78399387).
The spelling of 57045312 in words is "fifty-seven million, forty-five thousand, three hundred twelve".
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