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27840968 = 2317414993
BaseRepresentation
bin110101000110…
…1000111001000
31221101110121222
41222031013020
524111402333
62432421212
7455434001
oct152150710
957343558
1027840968
1114796371
1293a7808
1359ca35c
1439aa1a8
15269e298
hex1a8d1c8

27840968 has 32 divisors (see below), whose sum is σ = 56631960. Its totient is φ = 12779520.

The previous prime is 27840929. The next prime is 27840973. The reversal of 27840968 is 86904872.

It can be written as a sum of positive squares in 4 ways, for example, as 18852964 + 8988004 = 4342^2 + 2998^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3080 + ... + 8072.

Almost surely, 227840968 is an apocalyptic number.

It is an amenable number.

27840968 is an abundant number, since it is smaller than the sum of its proper divisors (28790992).

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

27840968 is a wasteful number, since it uses less digits than its factorization.

27840968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 27840968 is about 5276.4541123751. The cubic root of 27840968 is about 303.0829067281.

The spelling of 27840968 in words is "twenty-seven million, eight hundred forty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 17 34 41 68 82 136 164 328 697 1394 2788 4993 5576 9986 19972 39944 84881 169762 204713 339524 409426 679048 818852 1637704 3480121 6960242 13920484 27840968