Search a number
-
+
27750112 = 2513411627
BaseRepresentation
bin110100111011…
…0111011100000
31221012211222221
41221312323200
524101000422
62430440424
7454605055
oct151667340
957184887
1027750112
1114734085
129363114
135997bb0
14398502c
1526823c7
hex1a76ee0

27750112 has 48 divisors (see below), whose sum is σ = 60307632. Its totient is φ = 12487680.

The previous prime is 27750109. The next prime is 27750113. The reversal of 27750112 is 21105772.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27750113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16243 + ... + 17869.

It is an arithmetic number, because the mean of its divisors is an integer number (1256409).

Almost surely, 227750112 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 27750112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30153816).

27750112 is an abundant number, since it is smaller than the sum of its proper divisors (32557520).

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

27750112 is a wasteful number, since it uses less digits than its factorization.

27750112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 27750112 is about 5267.8375069852. The cubic root of 27750112 is about 302.7528546316.

Adding to 27750112 its reverse (21105772), we get a palindrome (48855884).

The spelling of 27750112 in words is "twenty-seven million, seven hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 1627 2132 3254 4264 6508 8528 13016 17056 21151 26032 42302 52064 66707 84604 133414 169208 266828 338416 533656 676832 867191 1067312 1734382 2134624 3468764 6937528 13875056 27750112