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42218442 = 2337671667
BaseRepresentation
bin1010000100001…
…1001111001010
32221102220211000
42201003033022
541301442232
64104515430
71021564560
oct241031712
987386730
1042218442
1121916382
121217bb76
138992536
14586da30
153a8e27c
hex28433ca

42218442 has 64 divisors (see below), whose sum is σ = 108887040. Its totient is φ = 11875248.

The previous prime is 42218441. The next prime is 42218459. The reversal of 42218442 is 24481224.

42218442 is a `hidden beast` number, since 4 + 2 + 218 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42218441) 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 31 ways as a sum of consecutive naturals, for example, 24493 + ... + 26159.

It is an arithmetic number, because the mean of its divisors is an integer number (1701360).

Almost surely, 242218442 is an apocalyptic number.

42218442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42218442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54443520).

42218442 is an abundant number, since it is smaller than the sum of its proper divisors (66668598).

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

42218442 is a wasteful number, since it uses less digits than its factorization.

42218442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 42218442 is about 6497.5720080658. The cubic root of 42218442 is about 348.2042498950.

Adding to 42218442 its reverse (24481224), we get a palindrome (66699666).

The spelling of 42218442 in words is "forty-two million, two hundred eighteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 126 134 189 201 378 402 469 603 938 1206 1407 1667 1809 2814 3334 3618 4221 5001 8442 10002 11669 12663 15003 23338 25326 30006 35007 45009 70014 90018 105021 111689 210042 223378 315063 335067 630126 670134 781823 1005201 1563646 2010402 2345469 3015603 4690938 6031206 7036407 14072814 21109221 42218442