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57644072 = 2323253257
BaseRepresentation
bin1101101111100…
…1010000101000
311000110121210122
43123321100220
5104224102242
65415302412
71266652343
oct333712050
9130417718
1057644072
112a5a1932
121737aa08
13bc33825
14792745a
1550d9ad2
hex36f9428

57644072 has 48 divisors (see below), whose sum is σ = 115565940. Its totient is φ = 26943488.

The previous prime is 57644071. The next prime is 57644087. The reversal of 57644072 is 27044675.

57644072 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 2 ways, for example, as 46977316 + 10666756 = 6854^2 + 3266^2 .

It is not an unprimeable number, because it can be changed into a prime (57644071) 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 11 ways as a sum of consecutive naturals, for example, 224168 + ... + 224424.

Almost surely, 257644072 is an apocalyptic number.

It is an amenable number.

57644072 is an abundant number, since it is smaller than the sum of its proper divisors (57921868).

57644072 is a wasteful number, since it uses less digits than its factorization.

57644072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 57644072 is about 7592.3693271600. The cubic root of 57644072 is about 386.2942265281.

The spelling of 57644072 in words is "fifty-seven million, six hundred forty-four thousand, seventy-two".

Divisors: 1 2 4 8 23 46 53 92 106 184 212 257 424 514 529 1028 1058 1219 2056 2116 2438 4232 4876 5911 9752 11822 13621 23644 27242 28037 47288 54484 56074 108968 112148 135953 224296 271906 313283 543812 626566 1087624 1253132 2506264 7205509 14411018 28822036 57644072