Search a number
-
+
26426106 = 23271311601
BaseRepresentation
bin110010011001…
…1101011111010
31211201120210200
41210303223322
523231113411
62342223030
7440422020
oct144635372
954646720
1026426106
1113a0a363
128a24a76
135623365
14371c710
1524bee56
hex1933afa

26426106 has 48 divisors (see below), whose sum is σ = 65976768. Its totient is φ = 7488000.

The previous prime is 26426089. The next prime is 26426107. The reversal of 26426106 is 60162462.

It is a happy number.

26426106 is a `hidden beast` number, since 2 + 6 + 42 + 610 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26426106.

It is not an unprimeable number, because it can be changed into a prime (26426107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15706 + ... + 17306.

It is an arithmetic number, because the mean of its divisors is an integer number (1374516).

Almost surely, 226426106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26426106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32988384).

26426106 is an abundant number, since it is smaller than the sum of its proper divisors (39550662).

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

26426106 is a wasteful number, since it uses less digits than its factorization.

26426106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26426106 is about 5140.6328404196. The cubic root of 26426106 is about 297.8592266349.

Adding to 26426106 its reverse (60162462), we get a palindrome (86588568).

The spelling of 26426106 in words is "twenty-six million, four hundred twenty-six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1601 1834 2358 2751 3202 4803 5502 8253 9606 11207 14409 16506 22414 28818 33621 67242 100863 201726 209731 419462 629193 1258386 1468117 1887579 2936234 3775158 4404351 8808702 13213053 26426106