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42083271 = 3219431571
BaseRepresentation
bin1010000010001…
…0001111000111
32221012001101200
42200202033013
541233131041
64101553543
71020462516
oct240421707
987161350
1042083271
112183386a
12121158b3
138945b59
14583667d
153a641b6
hex28223c7

42083271 has 24 divisors (see below), whose sum is σ = 64247040. Its totient is φ = 26470800.

The previous prime is 42083267. The next prime is 42083273. The reversal of 42083271 is 17238024.

It is not a de Polignac number, because 42083271 - 22 = 42083267 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42083273) 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 23 ways as a sum of consecutive naturals, for example, 73416 + ... + 73986.

It is an arithmetic number, because the mean of its divisors is an integer number (2676960).

Almost surely, 242083271 is an apocalyptic number.

42083271 is a deficient number, since it is larger than the sum of its proper divisors (22163769).

42083271 is a wasteful number, since it uses less digits than its factorization.

42083271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42083271 is about 6487.1620143172. The cubic root of 42083271 is about 347.8322368154.

It can be divided in two parts, 420832 and 71, that added together give a triangular number (420903 = T917).

The spelling of 42083271 in words is "forty-two million, eighty-three thousand, two hundred seventy-one".

Divisors: 1 3 9 19 57 171 431 571 1293 1713 3879 5139 8189 10849 24567 32547 73701 97641 246101 738303 2214909 4675919 14027757 42083271