Search a number
-
+
27728208 = 2432192557
BaseRepresentation
bin110100111000…
…1100101010000
31221011201221200
41221301211100
524044300313
62430151200
7454454154
oct151614520
957151850
1027728208
1114719682
129352500
13598ac31
14397b064
15267ab73
hex1a71950

27728208 has 30 divisors (see below), whose sum is σ = 77600874. Its totient is φ = 9242688.

The previous prime is 27728203. The next prime is 27728209. The reversal of 27728208 is 80282772.

It can be written as a sum of positive squares in only one way, i.e., 17539344 + 10188864 = 4188^2 + 3192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27728203) 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 5 ways as a sum of consecutive naturals, for example, 96135 + ... + 96422.

Almost surely, 227728208 is an apocalyptic number.

It is an amenable number.

27728208 is an abundant number, since it is smaller than the sum of its proper divisors (49872666).

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

27728208 is a wasteful number, since it uses less digits than its factorization.

27728208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192571 (or 192562 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 27728208 is about 5265.7580650843. The cubic root of 27728208 is about 302.6731763453.

The spelling of 27728208 in words is "twenty-seven million, seven hundred twenty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 192557 385114 577671 770228 1155342 1540456 1733013 2310684 3080912 3466026 4621368 6932052 9242736 13864104 27728208