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27967072 = 257124853
BaseRepresentation
bin110101010101…
…1111001100000
31221121212121111
41222223321200
524124421242
62435233104
7456500440
oct152537140
957555544
1027967072
1114872091
129448794
135a42883
143a00120
1526c6817
hex1aabe60

27967072 has 24 divisors (see below), whose sum is σ = 62926416. Its totient is φ = 11985792.

The previous prime is 27967019. The next prime is 27967109. The reversal of 27967072 is 27076972.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62203 + ... + 62650.

It is an arithmetic number, because the mean of its divisors is an integer number (2621934).

Almost surely, 227967072 is an apocalyptic number.

It is an amenable number.

27967072 is an abundant number, since it is smaller than the sum of its proper divisors (34959344).

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

27967072 is a wasteful number, since it uses less digits than its factorization.

27967072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124870 (or 124862 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 27967072 is about 5288.3903032965. The cubic root of 27967072 is about 303.5398162079.

The spelling of 27967072 in words is "twenty-seven million, nine hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 124853 249706 499412 873971 998824 1747942 1997648 3495884 3995296 6991768 13983536 27967072