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42674541 = 37213137163
BaseRepresentation
bin1010001011001…
…0100101101101
32222022002110120
42202302211231
541411041131
64122355153
71025504400
oct242624555
988262416
1042674541
11220a8018
121235bab9
138ac2010
14594bd37
153b2e496
hex28b296d

42674541 has 48 divisors (see below), whose sum is σ = 72241344. Its totient is φ = 22208256.

The previous prime is 42674537. The next prime is 42674581. The reversal of 42674541 is 14547624.

42674541 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 42674541 - 22 = 42674537 is a prime.

It is a super-2 number, since 2×426745412 = 3642232899121362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42674501) 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 47 ways as a sum of consecutive naturals, for example, 261726 + ... + 261888.

It is an arithmetic number, because the mean of its divisors is an integer number (1505028).

Almost surely, 242674541 is an apocalyptic number.

It is an amenable number.

42674541 is a deficient number, since it is larger than the sum of its proper divisors (29566803).

42674541 is a wasteful number, since it uses less digits than its factorization.

42674541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 323 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 42674541 is about 6532.5753726995. The cubic root of 42674541 is about 349.4536810215.

The spelling of 42674541 in words is "forty-two million, six hundred seventy-four thousand, five hundred forty-one".

Divisors: 1 3 7 13 21 39 49 91 137 147 163 273 411 489 637 959 1141 1781 1911 2119 2877 3423 5343 6357 6713 7987 12467 14833 20139 22331 23961 37401 44499 66993 87269 103831 156317 261807 290303 311493 468951 870909 1094219 2032121 3282657 6096363 14224847 42674541