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42608214 = 2331126521
BaseRepresentation
bin1010001010001…
…0011001010110
32222011201111000
42202202121112
541401430324
64121124130
71025110125
oct242423126
988151430
1042608214
1122062200
1212329646
138a9aa7c
145931abc
153b199c9
hex28a2656

42608214 has 48 divisors (see below), whose sum is σ = 104091120. Its totient is φ = 12909600.

The previous prime is 42608191. The next prime is 42608219. The reversal of 42608214 is 41280624.

42608214 is a `hidden beast` number, since 42 + 608 + 2 + 14 = 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 (42608219) 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 23 ways as a sum of consecutive naturals, for example, 3274 + ... + 9794.

It is an arithmetic number, because the mean of its divisors is an integer number (2168565).

Almost surely, 242608214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42608214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52045560).

42608214 is an abundant number, since it is smaller than the sum of its proper divisors (61482906).

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

42608214 is a wasteful number, since it uses less digits than its factorization.

42608214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42608214 is about 6527.4967636913. The cubic root of 42608214 is about 349.2725407569.

Adding to 42608214 its reverse (41280624), we get a palindrome (83888838).

The spelling of 42608214 in words is "forty-two million, six hundred eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6521 6534 13042 19563 39126 58689 71731 117378 143462 176067 215193 352134 430386 645579 789041 1291158 1578082 1936737 2367123 3873474 4734246 7101369 14202738 21304107 42608214