Search a number
-
+
42536568 = 23323263293
BaseRepresentation
bin1010001001000…
…0111001111000
32222001002012110
42202100321320
541342132233
64115412320
71024361214
oct242207170
988032173
1042536568
1122013398
12122b40a0
138a74289
145913944
153b03663
hex2890e78

42536568 has 64 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 13464704.

The previous prime is 42536561. The next prime is 42536609. The reversal of 42536568 is 86563524.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42536561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145030 + ... + 145322.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 242536568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42536568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

42536568 is an abundant number, since it is smaller than the sum of its proper divisors (69230472).

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

42536568 is a wasteful number, since it uses less digits than its factorization.

42536568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 42536568 is about 6522.0064397392. The cubic root of 42536568 is about 349.0766628794.

The spelling of 42536568 in words is "forty-two million, five hundred thirty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 263 276 293 526 552 586 789 879 1052 1172 1578 1758 2104 2344 3156 3516 6049 6312 6739 7032 12098 13478 18147 20217 24196 26956 36294 40434 48392 53912 72588 77059 80868 145176 154118 161736 231177 308236 462354 616472 924708 1772357 1849416 3544714 5317071 7089428 10634142 14178856 21268284 42536568