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27349056 = 2633721719
BaseRepresentation
bin110100001010…
…1000001000000
31220110110212000
41220111001000
524000132211
62414104000
7451314600
oct150250100
956413760
1027349056
111448a829
1291ab000
135887497
1438bcc00
152603656
hex1a15040

27349056 has 336 divisors, whose sum is σ = 104241600. Its totient is φ = 6967296.

The previous prime is 27349043. The next prime is 27349057. The reversal of 27349056 is 65094372.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×273490562 = 1495941728182272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27349056.

It is not an unprimeable number, because it can be changed into a prime (27349057) 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 47 ways as a sum of consecutive naturals, for example, 1439415 + ... + 1439433.

Almost surely, 227349056 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 27349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52120800).

27349056 is an abundant number, since it is smaller than the sum of its proper divisors (76892544).

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

27349056 is a wasteful number, since it uses less digits than its factorization.

27349056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 27349056 is about 5229.6324918679. The cubic root of 27349056 is about 301.2872685652.

The spelling of 27349056 in words is "twenty-seven million, three hundred forty-nine thousand, fifty-six".