Search a number
-
+
42218352 = 24321122423
BaseRepresentation
bin1010000100001…
…1001101110000
32221102220200200
42201003031300
541301441402
64104515200
71021564401
oct241031560
987386620
1042218352
1121916300
121217bb00
138992497
14586d9a8
153a8e21c
hex2843370

42218352 has 90 divisors (see below), whose sum is σ = 129923976. Its totient is φ = 12788160.

The previous prime is 42218347. The next prime is 42218353. The reversal of 42218352 is 25381224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42218353) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16213 + ... + 18635.

Almost surely, 242218352 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 42218352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64961988).

42218352 is an abundant number, since it is smaller than the sum of its proper divisors (87705624).

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

42218352 is a wasteful number, since it uses less digits than its factorization.

42218352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2439 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42218352 is about 6497.5650823982. The cubic root of 42218352 is about 348.2040024644.

Adding to 42218352 its reverse (25381224), we get a palindrome (67599576).

The spelling of 42218352 in words is "forty-two million, two hundred eighteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2423 2904 4356 4846 5808 7269 8712 9692 14538 17424 19384 21807 26653 29076 38768 43614 53306 58152 79959 87228 106612 116304 159918 174456 213224 239877 293183 319836 348912 426448 479754 586366 639672 879549 959508 1172732 1279344 1759098 1919016 2345464 2638647 3518196 3838032 4690928 5277294 7036392 10554588 14072784 21109176 42218352