Search a number
-
+
26761216 = 21173179
BaseRepresentation
bin110011000010…
…1100000000000
31212100121111011
41212011200000
523322324331
62353330304
7443316016
oct146054000
955317434
1026761216
1114119109
128b66994
13570ca51
1437a88b6
1525393b1
hex1985800

26761216 has 48 divisors (see below), whose sum is σ = 54545400. Its totient is φ = 13123584.

The previous prime is 26761211. The next prime is 26761219. The reversal of 26761216 is 61216762.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26761211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149415 + ... + 149593.

Almost surely, 226761216 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 26761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27272700).

26761216 is an abundant number, since it is smaller than the sum of its proper divisors (27784184).

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

26761216 is an equidigital number, since it uses as much as digits as its factorization.

26761216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 26761216 is about 5173.1243944062. The cubic root of 26761216 is about 299.1129948055.

Adding to 26761216 its reverse (61216762), we get a palindrome (87977978).

The spelling of 26761216 in words is "twenty-six million, seven hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 73 128 146 179 256 292 358 512 584 716 1024 1168 1432 2048 2336 2864 4672 5728 9344 11456 13067 18688 22912 26134 37376 45824 52268 74752 91648 104536 149504 183296 209072 366592 418144 836288 1672576 3345152 6690304 13380608 26761216