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57750129 = 3223412741
BaseRepresentation
bin1101110001001…
…1001001110001
311000200000021200
43130103021301
5104241001004
65421441413
71300603503
oct334231161
9130600250
1057750129
112a664588
1217410269
13bc6cb98
147953d73
15510b239
hex3713271

57750129 has 12 divisors (see below), whose sum is σ = 83482932. Its totient is φ = 38469600.

The previous prime is 57750113. The next prime is 57750137. The reversal of 57750129 is 92105775.

57750129 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 27279729 + 30470400 = 5223^2 + 5520^2 .

It is not a de Polignac number, because 57750129 - 24 = 57750113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57750093 and 57750102.

It is not an unprimeable number, because it can be changed into a prime (57750029) 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, 19699 + ... + 22439.

It is an arithmetic number, because the mean of its divisors is an integer number (6956911).

Almost surely, 257750129 is an apocalyptic number.

It is an amenable number.

57750129 is a deficient number, since it is larger than the sum of its proper divisors (25732803).

57750129 is a wasteful number, since it uses less digits than its factorization.

57750129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 57750129 is about 7599.3505643575. The cubic root of 57750129 is about 386.5309904320.

The spelling of 57750129 in words is "fifty-seven million, seven hundred fifty thousand, one hundred twenty-nine".

Divisors: 1 3 9 2341 2741 7023 8223 21069 24669 6416681 19250043 57750129