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57891105 = 355293153
BaseRepresentation
bin1101110011010…
…1100100100001
311000221011200000
43130311210201
5104310003410
65424450213
71302031506
oct334654441
9130834600
1057891105
112a750498
1217479969
13bcbc0bc
14798d4ad
155137dc0
hex3735921

57891105 has 96 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 28304640.

The previous prime is 57891059. The next prime is 57891109. The reversal of 57891105 is 50119875.

57891105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57891105 - 211 = 57889057 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 57891105.

It is not an unprimeable number, because it can be changed into a prime (57891109) 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 95 ways as a sum of consecutive naturals, for example, 1092259 + ... + 1092311.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

It is a vampire number, since it can be written as 71558091 (with its own digits).

Almost surely, 257891105 is an apocalyptic number.

It is an amenable number.

57891105 is a deficient number, since it is larger than the sum of its proper divisors (55327455).

57891105 is a wasteful number, since it uses less digits than its factorization.

57891105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 57891105 is about 7608.6204400009. The cubic root of 57891105 is about 386.8452599317.

The spelling of 57891105 in words is "fifty-seven million, eight hundred ninety-one thousand, one hundred five".

Divisors: 1 3 5 9 15 27 29 31 45 53 81 87 93 135 145 155 159 243 261 265 279 405 435 465 477 783 795 837 899 1215 1305 1395 1431 1537 1643 2349 2385 2511 2697 3915 4185 4293 4495 4611 4929 7047 7155 7533 7685 8091 8215 11745 12555 12879 13485 13833 14787 21465 23055 24273 24645 35235 37665 40455 41499 44361 47647 64395 69165 72819 73935 121365 124497 133083 142941 207495 218457 221805 238235 364095 373491 399249 428823 622485 665415 714705 1092285 1286469 1867455 1996245 2144115 3859407 6432345 11578221 19297035 57891105