Search a number
-
+
26790642 = 233496123
BaseRepresentation
bin110011000110…
…0101011110010
31212102002212000
41212030223302
523324300032
62354114430
7443500554
oct146145362
955362760
1026790642
111413922a
128b7ba16
135720268
1437b54d4
152542e7c
hex198caf2

26790642 has 16 divisors (see below), whose sum is σ = 59534880. Its totient is φ = 8930196.

The previous prime is 26790629. The next prime is 26790649. The reversal of 26790642 is 24609762.

It is a happy number.

26790642 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 0 + 642 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26790597 and 26790606.

It is not an unprimeable number, because it can be changed into a prime (26790649) 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 7 ways as a sum of consecutive naturals, for example, 248008 + ... + 248115.

It is an arithmetic number, because the mean of its divisors is an integer number (3720930).

Almost surely, 226790642 is an apocalyptic number.

26790642 is an abundant number, since it is smaller than the sum of its proper divisors (32744238).

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

26790642 is a wasteful number, since it uses less digits than its factorization.

26790642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496134 (or 496128 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 26790642 is about 5175.9677356027. The cubic root of 26790642 is about 299.2225871711. Note that the first 3 decimals are identical.

It can be divided in two parts, 267 and 90642, that added together give a palindrome (90909).

The spelling of 26790642 in words is "twenty-six million, seven hundred ninety thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 496123 992246 1488369 2976738 4465107 8930214 13395321 26790642