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27056304 = 243211192931
BaseRepresentation
bin110011100110…
…1100010110000
31212220121021100
41213031202300
523411300204
62403524400
7445655232
oct147154260
955817240
1027056304
11142aa890
129089700
1357b4162
143844252
152596a39
hex19cd8b0

27056304 has 240 divisors, whose sum is σ = 92851200. Its totient is φ = 7257600.

The previous prime is 27056297. The next prime is 27056317. The reversal of 27056304 is 40365072.

It is a happy number.

27056304 is a `hidden beast` number, since 27 + 0 + 5 + 630 + 4 = 666.

It is a super-2 number, since 2×270563042 = 1464087172280832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872769 + ... + 872799.

It is an arithmetic number, because the mean of its divisors is an integer number (386880).

Almost surely, 227056304 is an apocalyptic number.

27056304 is a gapful number since it is divisible by the number (24) 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 27056304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46425600).

27056304 is an abundant number, since it is smaller than the sum of its proper divisors (65794896).

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

27056304 is a wasteful number, since it uses less digits than its factorization.

27056304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 27056304 is about 5201.5674560655. The cubic root of 27056304 is about 300.2083885472.

It can be divided in two parts, 2705 and 6304, that added together give a palindrome (9009).

The spelling of 27056304 in words is "twenty-seven million, fifty-six thousand, three hundred four".