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27442116 = 223213191307
BaseRepresentation
bin110100010101…
…1101111000100
31220122012111200
41220223233010
524011121431
62420102500
7452153112
oct150535704
956565450
1027442116
1114543739
129234a30
1358ba950
143904ab2
152620ee6
hex1a2bbc4

27442116 has 72 divisors (see below), whose sum is σ = 75339264. Its totient is φ = 8372160.

The previous prime is 27442111. The next prime is 27442117. The reversal of 27442116 is 61124472.

It is a self number, because there is not a number n which added to its sum of digits gives 27442116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27442111) 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 23 ways as a sum of consecutive naturals, for example, 89235 + ... + 89541.

Almost surely, 227442116 is an apocalyptic number.

27442116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27442116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37669632).

27442116 is an abundant number, since it is smaller than the sum of its proper divisors (47897148).

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

27442116 is a wasteful number, since it uses less digits than its factorization.

27442116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 516 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 27442116 is about 5238.5223107285. The cubic root of 27442116 is about 301.6286094389.

Adding to 27442116 its reverse (61124472), we get a palindrome (88566588).

The spelling of 27442116 in words is "twenty-seven million, four hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 191 234 307 382 468 573 614 764 921 1146 1228 1719 1842 2292 2483 2763 3438 3684 3991 4966 5526 6876 7449 7982 9932 11052 11973 14898 15964 22347 23946 29796 35919 44694 47892 58637 71838 89388 117274 143676 175911 234548 351822 527733 703644 762281 1055466 1524562 2110932 2286843 3049124 4573686 6860529 9147372 13721058 27442116