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27814971 = 3731071187
BaseRepresentation
bin110101000011…
…0110000111011
31221100010222010
41222012300323
524110034341
62432101003
7455265132
oct152066073
957303863
1027814971
1114778888
129394763
1359bb582
1439a0919
152696716
hex1a86c3b

27814971 has 16 divisors (see below), whose sum is σ = 37977984. Its totient is φ = 18103104.

The previous prime is 27814939. The next prime is 27814999. The reversal of 27814971 is 17941872.

It is not a de Polignac number, because 27814971 - 25 = 27814939 is a prime.

It is a super-2 number, since 2×278149712 = 1547345223461682, which contains 22 as substring.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (27814921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22840 + ... + 24026.

It is an arithmetic number, because the mean of its divisors is an integer number (2373624).

Almost surely, 227814971 is an apocalyptic number.

27814971 is a deficient number, since it is larger than the sum of its proper divisors (10163013).

27814971 is a wasteful number, since it uses less digits than its factorization.

27814971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370.

The product of its digits is 28224, while the sum is 39.

The square root of 27814971 is about 5273.9900454969. The cubic root of 27814971 is about 302.9885409950.

The spelling of 27814971 in words is "twenty-seven million, eight hundred fourteen thousand, nine hundred seventy-one".

Divisors: 1 3 73 107 219 321 1187 3561 7811 23433 86651 127009 259953 381027 9271657 27814971