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42676164 = 22329071307
BaseRepresentation
bin1010001011001…
…0111111000100
32222022011200200
42202302333010
541411114124
64122410500
71025512206
oct242627704
988264620
1042676164
11220a9263
1212360a30
138ac298b
14594c776
153b2ebc9
hex28b2fc4

42676164 has 36 divisors (see below), whose sum is σ = 108077424. Its totient is φ = 14198832.

The previous prime is 42676163. The next prime is 42676169. The reversal of 42676164 is 46167624.

42676164 is a `hidden beast` number, since 426 + 76 + 164 = 666.

42676164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42676163) 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, 31999 + ... + 33305.

Almost surely, 242676164 is an apocalyptic number.

It is an amenable number.

42676164 is an abundant number, since it is smaller than the sum of its proper divisors (65401260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42676164 is a wasteful number, since it uses less digits than its factorization.

42676164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2219 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42676164 is about 6532.6995951138. The cubic root of 42676164 is about 349.4581111112.

The spelling of 42676164 in words is "forty-two million, six hundred seventy-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 907 1307 1814 2614 2721 3628 3921 5228 5442 7842 8163 10884 11763 15684 16326 23526 32652 47052 1185449 2370898 3556347 4741796 7112694 10669041 14225388 21338082 42676164