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42258933 = 3214931513
BaseRepresentation
bin1010000100110…
…1000111110101
32221111222100200
42201031013311
541304241213
64105431113
71022123613
oct241150765
987458320
1042258933
1121943842
121219b499
1389a7ab2
1458806b3
153a9b273
hex284d1f5

42258933 has 12 divisors (see below), whose sum is σ = 61452300. Its totient is φ = 27982656.

The previous prime is 42258929. The next prime is 42258961. The reversal of 42258933 is 33985224.

42258933 is a `hidden beast` number, since 42 + 2 + 589 + 33 = 666.

42258933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1580049 + 40678884 = 1257^2 + 6378^2 .

It is not a de Polignac number, because 42258933 - 22 = 42258929 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42258913) 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 11 ways as a sum of consecutive naturals, for example, 14416 + ... + 17097.

It is an arithmetic number, because the mean of its divisors is an integer number (5121025).

Almost surely, 242258933 is an apocalyptic number.

It is an amenable number.

42258933 is a deficient number, since it is larger than the sum of its proper divisors (19193367).

42258933 is a wasteful number, since it uses less digits than its factorization.

42258933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31668 (or 31665 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 42258933 is about 6500.6871175284. The cubic root of 42258933 is about 348.3155332789.

The spelling of 42258933 in words is "forty-two million, two hundred fifty-eight thousand, nine hundred thirty-three".

Divisors: 1 3 9 149 447 1341 31513 94539 283617 4695437 14086311 42258933