Search a number
-
+
26561232 = 24321391327
BaseRepresentation
bin110010101010…
…0101011010000
31211222110011100
41211110223100
523244424412
62345144400
7441523665
oct145245320
954873140
1026561232
1113aa1935
128a8b100
13566ca09
143755a6c
1524e9edc
hex1954ad0

26561232 has 60 divisors (see below), whose sum is σ = 74925760. Its totient is φ = 8783424.

The previous prime is 26561231. The next prime is 26561243. The reversal of 26561232 is 23216562.

26561232 is a `hidden beast` number, since 2 + 656 + 1 + 2 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26561196 and 26561205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26561231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19353 + ... + 20679.

Almost surely, 226561232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26561232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37462880).

26561232 is an abundant number, since it is smaller than the sum of its proper divisors (48364528).

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

26561232 is a wasteful number, since it uses less digits than its factorization.

26561232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1471 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 26561232 is about 5153.7590164850. The cubic root of 26561232 is about 298.3660501833.

Adding to 26561232 its reverse (23216562), we get a palindrome (49777794).

The spelling of 26561232 in words is "twenty-six million, five hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1327 1668 2224 2502 2654 3336 3981 5004 5308 6672 7962 10008 10616 11943 15924 20016 21232 23886 31848 47772 63696 95544 184453 191088 368906 553359 737812 1106718 1475624 1660077 2213436 2951248 3320154 4426872 6640308 8853744 13280616 26561232