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42973569 = 32171571789
BaseRepresentation
bin1010001111101…
…1100110000001
32222212021122200
42203323212001
542000123234
64133023413
71031161242
oct243734601
988767580
1042973569
1122291751
1212484b69
138b98162
1459c8cc9
153b8cd99
hex28fb981

42973569 has 24 divisors (see below), whose sum is σ = 66179880. Its totient is φ = 26777088.

The previous prime is 42973559. The next prime is 42973571. The reversal of 42973569 is 96537924.

It is a happy number.

42973569 is a `hidden beast` number, since 4 + 297 + 356 + 9 = 666.

42973569 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 4 ways, for example, as 18173169 + 24800400 = 4263^2 + 4980^2 .

It is not a de Polignac number, because 42973569 - 28 = 42973313 is a prime.

It is a super-2 number, since 2×429735692 = 3693455265195522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42973519) 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, 23127 + ... + 24915.

It is an arithmetic number, because the mean of its divisors is an integer number (2757495).

Almost surely, 242973569 is an apocalyptic number.

It is an amenable number.

42973569 is a deficient number, since it is larger than the sum of its proper divisors (23206311).

42973569 is a wasteful number, since it uses less digits than its factorization.

42973569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1966 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 42973569 is about 6555.4228696553. The cubic root of 42973569 is about 350.2680096873.

The spelling of 42973569 in words is "forty-two million, nine hundred seventy-three thousand, five hundred sixty-nine".

Divisors: 1 3 9 17 51 153 157 471 1413 1789 2669 5367 8007 16101 24021 30413 91239 273717 280873 842619 2527857 4774841 14324523 42973569