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42218652 = 2237312523
BaseRepresentation
bin1010000100001…
…1010010011100
32221102221002210
42201003102130
541301444102
64104520420
71021565310
oct241032234
987387083
1042218652
1121916553
1212180110
138992668
14586db40
153a8e36c
hex284349c

42218652 has 72 divisors (see below), whose sum is σ = 116554368. Its totient is φ = 11651040.

The previous prime is 42218651. The next prime is 42218677. The reversal of 42218652 is 25681224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42218651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80463 + ... + 80985.

Almost surely, 242218652 is an apocalyptic number.

42218652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42218652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58277184).

42218652 is an abundant number, since it is smaller than the sum of its proper divisors (74335716).

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

42218652 is a wasteful number, since it uses less digits than its factorization.

42218652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 566 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 42218652 is about 6497.5881679282. The cubic root of 42218652 is about 348.2048272318.

Adding to 42218652 its reverse (25681224), we get a palindrome (67899876).

The spelling of 42218652 in words is "forty-two million, two hundred eighteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 523 651 868 961 1046 1302 1569 1922 2092 2604 2883 3138 3661 3844 5766 6276 6727 7322 10983 11532 13454 14644 16213 20181 21966 26908 32426 40362 43932 48639 64852 80724 97278 113491 194556 226982 340473 453964 502603 680946 1005206 1361892 1507809 2010412 3015618 3518221 6031236 7036442 10554663 14072884 21109326 42218652