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42133305 = 3515717891
BaseRepresentation
bin1010000010111…
…0011100111001
32221021121000210
42200232130321
541241231210
64103021333
71021061424
oct240563471
987247023
1042133305
1121868415
121213a849
138962866
14584a9bb
153a73e20
hex282e739

42133305 has 16 divisors (see below), whose sum is σ = 67846464. Its totient is φ = 22326720.

The previous prime is 42133297. The next prime is 42133313. The reversal of 42133305 is 50333124.

42133305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42133297) and next prime (42133313).

It is not a de Polignac number, because 42133305 - 23 = 42133297 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6591 + ... + 11300.

It is an arithmetic number, because the mean of its divisors is an integer number (4240404).

Almost surely, 242133305 is an apocalyptic number.

It is an amenable number.

42133305 is a deficient number, since it is larger than the sum of its proper divisors (25713159).

42133305 is a wasteful number, since it uses less digits than its factorization.

42133305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18056.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 42133305 is about 6491.0172546374. The cubic root of 42133305 is about 347.9700314396.

Adding to 42133305 its reverse (50333124), we get a palindrome (92466429).

The spelling of 42133305 in words is "forty-two million, one hundred thirty-three thousand, three hundred five".

Divisors: 1 3 5 15 157 471 785 2355 17891 53673 89455 268365 2808887 8426661 14044435 42133305