Search a number
-
+
42039 = 35173
BaseRepresentation
bin1010010000110111
32010200000
422100313
52321124
6522343
7233364
oct122067
963600
1042039
1129648
12203b3
131619a
141146b
15c6c9
hexa437

42039 has 12 divisors (see below), whose sum is σ = 63336. Its totient is φ = 27864.

The previous prime is 42023. The next prime is 42043. The reversal of 42039 is 93024.

42039 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42039 - 24 = 42023 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42039.

It is not an unprimeable number, because it can be changed into a prime (42019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (5278).

242039 is an apocalyptic number.

42039 is a deficient number, since it is larger than the sum of its proper divisors (21297).

42039 is an equidigital number, since it uses as much as digits as its factorization.

42039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 42039 is about 205.0341434981. The cubic root of 42039 is about 34.7710222505.

The spelling of 42039 in words is "forty-two thousand, thirty-nine".

Divisors: 1 3 9 27 81 173 243 519 1557 4671 14013 42039