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42842682 = 2341931449
BaseRepresentation
bin1010001101101…
…1101000111010
32222121122010000
42203123220322
541431431212
64130133430
71030104531
oct243335072
988548100
1042842682
1122202383
1212421276
138b506cc
145993318
153b641dc
hex28dba3a

42842682 has 80 divisors (see below), whose sum is σ = 104544000. Its totient is φ = 13063680.

The previous prime is 42842647. The next prime is 42842687. The reversal of 42842682 is 28624824.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (42842687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95194 + ... + 95642.

It is an arithmetic number, because the mean of its divisors is an integer number (1306800).

Almost surely, 242842682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42842682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52272000).

42842682 is an abundant number, since it is smaller than the sum of its proper divisors (61701318).

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

42842682 is a wasteful number, since it uses less digits than its factorization.

42842682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42842682 is about 6545.4321476890. The cubic root of 42842682 is about 349.9120377591.

It can be divided in two parts, 42 and 842682, that added together give a square (842724 = 9182).

The spelling of 42842682 in words is "forty-two million, eight hundred forty-two thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 81 93 114 162 171 186 279 342 449 513 558 589 837 898 1026 1178 1347 1539 1674 1767 2511 2694 3078 3534 4041 5022 5301 8082 8531 10602 12123 13919 15903 17062 24246 25593 27838 31806 36369 41757 47709 51186 72738 76779 83514 95418 125271 153558 230337 250542 264461 375813 460674 528922 691011 751626 793383 1127439 1382022 1586766 2254878 2380149 4760298 7140447 14280894 21421341 42842682