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27942057 = 3311137237
BaseRepresentation
bin110101010010…
…1110010101001
31221120121022000
41222211302221
524123121212
62434521213
7456334503
oct152456251
957517260
1027942057
1114855310
129436209
135a34380
1439d4d73
1526be1dc
hex1aa5ca9

27942057 has 32 divisors (see below), whose sum is σ = 48639360. Its totient is φ = 15629760.

The previous prime is 27942053. The next prime is 27942071. The reversal of 27942057 is 75024972.

It is not a de Polignac number, because 27942057 - 22 = 27942053 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27942053) 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 31 ways as a sum of consecutive naturals, for example, 243 + ... + 7479.

It is an arithmetic number, because the mean of its divisors is an integer number (1519980).

Almost surely, 227942057 is an apocalyptic number.

27942057 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

27942057 is a deficient number, since it is larger than the sum of its proper divisors (20697303).

27942057 is a wasteful number, since it uses less digits than its factorization.

27942057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7270 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 27942057 is about 5286.0246877971. The cubic root of 27942057 is about 303.4492893497.

It can be divided in two parts, 2794 and 2057, that added together give a triangular number (4851 = T98).

The spelling of 27942057 in words is "twenty-seven million, nine hundred forty-two thousand, fifty-seven".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3861 7237 21711 65133 79607 94081 195399 238821 282243 716463 846729 1034891 2149389 2540187 3104673 9314019 27942057