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57135309 = 3711247339
BaseRepresentation
bin1101100111110…
…1000011001101
310222111202220120
43121331003031
5104111312214
65400335153
71262433150
oct331750315
9128452816
1057135309
112a284670
12171744b9
13bab609a
147833c97
155038ea9
hex367d0cd

57135309 has 16 divisors (see below), whose sum is σ = 94978560. Its totient is φ = 29680560.

The previous prime is 57135227. The next prime is 57135311. The reversal of 57135309 is 90353175.

It is not a de Polignac number, because 57135309 - 212 = 57131213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 57135309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57135809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123439 + ... + 123900.

It is an arithmetic number, because the mean of its divisors is an integer number (5936160).

Almost surely, 257135309 is an apocalyptic number.

It is an amenable number.

57135309 is a deficient number, since it is larger than the sum of its proper divisors (37843251).

57135309 is a wasteful number, since it uses less digits than its factorization.

57135309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247360.

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 57135309 is about 7558.7901809747. The cubic root of 57135309 is about 385.1543969482.

The spelling of 57135309 in words is "fifty-seven million, one hundred thirty-five thousand, three hundred nine".

Divisors: 1 3 7 11 21 33 77 231 247339 742017 1731373 2720729 5194119 8162187 19045103 57135309