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42243047 = 7211181433
BaseRepresentation
bin1010000100100…
…1001111100111
32221111011120022
42201021033213
541303234142
64105225355
71022026400
oct241111747
987434508
1042243047
1121932910
121219225b
1389a07b2
1458789a7
153a966d2
hex28493e7

42243047 has 24 divisors (see below), whose sum is σ = 54027792. Its totient is φ = 32659200.

The previous prime is 42243041. The next prime is 42243077. The reversal of 42243047 is 74034224.

42243047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42243047 - 210 = 42242023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42243041) 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, 97343 + ... + 97775.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 242243047 is an apocalyptic number.

42243047 is a deficient number, since it is larger than the sum of its proper divisors (11784745).

42243047 is a wasteful number, since it uses less digits than its factorization.

42243047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 42243047 is about 6499.4651318397. The cubic root of 42243047 is about 348.2718814900.

The spelling of 42243047 in words is "forty-two million, two hundred forty-three thousand, forty-seven".

Divisors: 1 7 11 49 77 181 433 539 1267 1991 3031 4763 8869 13937 21217 33341 78373 97559 233387 548611 862103 3840277 6034721 42243047