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26442 = 23213113
BaseRepresentation
bin110011101001010
31100021100
412131022
51321232
6322230
7140043
oct63512
940240
1026442
1118959
1213376
13c060
1498ca
157c7c
hex674a

26442 has 24 divisors (see below), whose sum is σ = 62244. Its totient is φ = 8064.

The previous prime is 26437. The next prime is 26449. The reversal of 26442 is 24462.

It can be written as a sum of positive squares in 2 ways, for example, as 19881 + 6561 = 141^2 + 81^2 .

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

It is an Ulam number.

26442 is an undulating number in base 15.

It is not an unprimeable number, because it can be changed into a prime (26449) 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, 178 + ... + 290.

226442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31122).

26442 is an abundant number, since it is smaller than the sum of its proper divisors (35802).

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

26442 is a wasteful number, since it uses less digits than its factorization.

26442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 131 counting only the distinct ones).

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

The square root of 26442 is about 162.6099627944. The cubic root of 26442 is about 29.7918930547.

The spelling of 26442 in words is "twenty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 4407 8814 13221 26442