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42573089 = 1373113397
BaseRepresentation
bin1010001001100…
…1110100100001
32222002221022002
42202121310201
541344314324
64120253345
71024602536
oct242316441
988087262
1042573089
1122038879
1212311255
138a87aa0
145922d8d
153b0e3ae
hex2899d21

42573089 has 16 divisors (see below), whose sum is σ = 47005392. Its totient is φ = 38320128.

The previous prime is 42573071. The next prime is 42573109. The reversal of 42573089 is 98037524.

It can be written as a sum of positive squares in 8 ways, for example, as 6477025 + 36096064 = 2545^2 + 6008^2 .

It is a cyclic number.

It is not a de Polignac number, because 42573089 - 224 = 25795873 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42573589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107039 + ... + 107435.

It is an arithmetic number, because the mean of its divisors is an integer number (2937837).

Almost surely, 242573089 is an apocalyptic number.

It is an amenable number.

42573089 is a deficient number, since it is larger than the sum of its proper divisors (4432303).

42573089 is a wasteful number, since it uses less digits than its factorization.

42573089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 42573089 is about 6524.8056676042. The cubic root of 42573089 is about 349.1765375878.

The spelling of 42573089 in words is "forty-two million, five hundred seventy-three thousand, eighty-nine".

Divisors: 1 13 73 113 397 949 1469 5161 8249 28981 44861 107237 376753 583193 3274853 42573089