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42232014 = 23211263811
BaseRepresentation
bin1010000100011…
…0100011001110
32221110121102200
42201012203032
541302411024
64105102330
71021652256
oct241064316
987417380
1042232014
11219255a0
12121879a6
138998776
145874966
153a932c9
hex28468ce

42232014 has 48 divisors (see below), whose sum is σ = 100324224. Its totient is φ = 12733200.

The previous prime is 42231989. The next prime is 42232037. The reversal of 42232014 is 41023224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 51669 + ... + 52479.

It is an arithmetic number, because the mean of its divisors is an integer number (2090088).

Almost surely, 242232014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42232014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50162112).

42232014 is an abundant number, since it is smaller than the sum of its proper divisors (58092210).

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

42232014 is a wasteful number, since it uses less digits than its factorization.

42232014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42232014 is about 6498.6163142626. The cubic root of 42232014 is about 348.2415584072.

Adding to 42232014 its reverse (41023224), we get a palindrome (83255238).

The spelling of 42232014 in words is "forty-two million, two hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 263 526 789 811 1578 1622 2367 2433 2893 4734 4866 5786 7299 8679 8921 14598 17358 17842 26037 26763 52074 53526 80289 160578 213293 426586 639879 1279758 1919637 2346223 3839274 4692446 7038669 14077338 21116007 42232014