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42428664 = 2333196429
BaseRepresentation
bin1010000111011…
…0100011111000
32221211121012000
42201312203320
541330204124
64113221000
71023431505
oct241664370
987747160
1042428664
1121a4a313
1212261760
138a37125
1458c64ac
153ad16c9
hex28768f8

42428664 has 32 divisors (see below), whose sum is σ = 117858000. Its totient is φ = 14142816.

The previous prime is 42428663. The next prime is 42428681. The reversal of 42428664 is 46682424.

It is a happy number.

42428664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42428663) 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 7 ways as a sum of consecutive naturals, for example, 97999 + ... + 98430.

Almost surely, 242428664 is an apocalyptic number.

It is an amenable number.

42428664 is an abundant number, since it is smaller than the sum of its proper divisors (75429336).

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

42428664 is a wasteful number, since it uses less digits than its factorization.

42428664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196444 (or 196434 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 42428664 is about 6513.7288859761. The cubic root of 42428664 is about 348.7812412758.

The spelling of 42428664 in words is "forty-two million, four hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 196429 392858 589287 785716 1178574 1571432 1767861 2357148 3535722 4714296 5303583 7071444 10607166 14142888 21214332 42428664