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75742857 = 35353883
BaseRepresentation
bin1001000001110…
…11111010001001
312021112010200000
410200323322021
5123342232412
611303233213
71606542441
oct440737211
9167463600
1075742857
1139833803
1221448809
13128cc778
14a0b9121
1569b24dc
hex483be89

75742857 has 24 divisors (see below), whose sum is σ = 113908704. Its totient is φ = 50295168.

The previous prime is 75742819. The next prime is 75742859. The reversal of 75742857 is 75824757.

75742857 is a `hidden beast` number, since 7 + 574 + 28 + 57 = 666.

It is not a de Polignac number, because 75742857 - 210 = 75741833 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (75742859) 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 23 ways as a sum of consecutive naturals, for example, 85338 + ... + 86220.

It is an arithmetic number, because the mean of its divisors is an integer number (4746196).

Almost surely, 275742857 is an apocalyptic number.

It is an amenable number.

75742857 is a deficient number, since it is larger than the sum of its proper divisors (38165847).

75742857 is an equidigital number, since it uses as much as digits as its factorization.

75742857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1239 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 75742857 is about 8703.0372284623. The cubic root of 75742857 is about 423.1040938931.

The spelling of 75742857 in words is "seventy-five million, seven hundred forty-two thousand, eight hundred fifty-seven".

Divisors: 1 3 9 27 81 243 353 883 1059 2649 3177 7947 9531 23841 28593 71523 85779 214569 311699 935097 2805291 8415873 25247619 75742857