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42842646 = 23271130911
BaseRepresentation
bin1010001101101…
…1101000010110
32222121122001200
42203123220112
541431431041
64130133330
71030104450
oct243335026
988548050
1042842646
1122202350
1212421246
138b506a2
1459932d0
153b641b6
hex28dba16

42842646 has 48 divisors (see below), whose sum is σ = 115734528. Its totient is φ = 11127600.

The previous prime is 42842627. The next prime is 42842647. The reversal of 42842646 is 64624824.

It is a happy number.

42842646 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 2 + 646 = 666.

42842646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42842646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42842647) 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 23 ways as a sum of consecutive naturals, for example, 14070 + ... + 16841.

It is an arithmetic number, because the mean of its divisors is an integer number (2411136).

Almost surely, 242842646 is an apocalyptic number.

42842646 is an abundant number, since it is smaller than the sum of its proper divisors (72891882).

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

42842646 is a wasteful number, since it uses less digits than its factorization.

42842646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30937 (or 30934 counting only the distinct ones).

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

The square root of 42842646 is about 6545.4293976790. The cubic root of 42842646 is about 349.9119397506.

The spelling of 42842646 in words is "forty-two million, eight hundred forty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 30911 61822 92733 185466 216377 278199 340021 432754 556398 649131 680042 1020063 1298262 1947393 2040126 2380147 3060189 3894786 4760294 6120378 7140441 14280882 21421323 42842646