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42266313 = 3310971427
BaseRepresentation
bin1010000100111…
…0111011001001
32221112100111000
42201032323021
541310010223
64105525213
71022154255
oct241167311
987470430
1042266313
1121949341
12121a3809
1389ab26b
145883265
153a9d543
hex284eec9

42266313 has 16 divisors (see below), whose sum is σ = 62717760. Its totient is φ = 28132128.

The previous prime is 42266309. The next prime is 42266353. The reversal of 42266313 is 31366224.

42266313 is a `hidden beast` number, since 4 + 2 + 26 + 631 + 3 = 666.

42266313 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 42266313 - 22 = 42266309 is a prime.

It is a super-2 number, since 2×422663132 = 3572882429227938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42266353) 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 15 ways as a sum of consecutive naturals, for example, 28906 + ... + 30332.

It is an arithmetic number, because the mean of its divisors is an integer number (3919860).

Almost surely, 242266313 is an apocalyptic number.

It is an amenable number.

42266313 is a deficient number, since it is larger than the sum of its proper divisors (20451447).

42266313 is a wasteful number, since it uses less digits than its factorization.

42266313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2527 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 42266313 is about 6501.2547250512. The cubic root of 42266313 is about 348.3358084321.

The spelling of 42266313 in words is "forty-two million, two hundred sixty-six thousand, three hundred thirteen".

Divisors: 1 3 9 27 1097 1427 3291 4281 9873 12843 29619 38529 1565419 4696257 14088771 42266313