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42438 = 2311643
BaseRepresentation
bin1010010111000110
32011012210
422113012
52324223
6524250
7234504
oct122706
964183
1042438
1129980
1220686
1316416
1411674
15c893
hexa5c6

42438 has 16 divisors (see below), whose sum is σ = 92736. Its totient is φ = 12840.

The previous prime is 42437. The next prime is 42443. The reversal of 42438 is 83424.

It is a happy number.

42438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (5796).

242438 is an apocalyptic number.

42438 is an abundant number, since it is smaller than the sum of its proper divisors (50298).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46368).

42438 is a wasteful number, since it uses less digits than its factorization.

42438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659.

The product of its digits is 768, while the sum is 21.

The square root of 42438 is about 206.0048543117. The cubic root of 42438 is about 34.8806821332.

Multiplying 42438 by its sum of digits (21), we get a palindrome (891198).

It can be divided in two parts, 4 and 2438, that added together give a palindrome (2442).

The spelling of 42438 in words is "forty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 643 1286 1929 3858 7073 14146 21219 42438