Search a number
-
+
26388126 = 2331074567
BaseRepresentation
bin110010010101…
…0011010011110
31211122122201000
41210222122132
523223410001
62341331130
7440203212
oct144523236
954578630
1026388126
1113993876
128a06aa6
13560bc9b
14370c942
1524b3a86
hex192a69e

26388126 has 32 divisors (see below), whose sum is σ = 59201280. Its totient is φ = 8711928.

The previous prime is 26388121. The next prime is 26388127. The reversal of 26388126 is 62188362.

26388126 is a `hidden beast` number, since 2 + 638 + 8 + 12 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26388121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3495 + ... + 8061.

It is an arithmetic number, because the mean of its divisors is an integer number (1850040).

Almost surely, 226388126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26388126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29600640).

26388126 is an abundant number, since it is smaller than the sum of its proper divisors (32813154).

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

26388126 is a wasteful number, since it uses less digits than its factorization.

26388126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4679 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 26388126 is about 5136.9374144523. The cubic root of 26388126 is about 297.7164622873.

The spelling of 26388126 in words is "twenty-six million, three hundred eighty-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 4567 5778 9134 13701 27402 41103 82206 123309 246618 488669 977338 1466007 2932014 4398021 8796042 13194063 26388126