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27955993 = 131092181
BaseRepresentation
bin110101010100…
…1001100011001
31221121022102011
41222221030121
524124042433
62435105521
7456423232
oct152511431
957538364
1027955993
111486482a
1294422a1
135a3a810
1439da089
1526c33cd
hex1aa9319

27955993 has 12 divisors (see below), whose sum is σ = 30553068. Its totient is φ = 25427520.

The previous prime is 27955987. The next prime is 27955999. The reversal of 27955993 is 39955972.

27955993 = 772 + 782 + ... + 4382.

It is an interprime number because it is at equal distance from previous prime (27955987) and next prime (27955999).

It can be written as a sum of positive squares in 6 ways, for example, as 2985984 + 24970009 = 1728^2 + 4997^2 .

It is not a de Polignac number, because 27955993 - 221 = 25858841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27955999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154363 + ... + 154543.

It is an arithmetic number, because the mean of its divisors is an integer number (2546089).

Almost surely, 227955993 is an apocalyptic number.

It is an amenable number.

27955993 is a deficient number, since it is larger than the sum of its proper divisors (2597075).

27955993 is a wasteful number, since it uses less digits than its factorization.

27955993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 303 counting only the distinct ones).

The product of its digits is 765450, while the sum is 49.

The square root of 27955993 is about 5287.3427163368. The cubic root of 27955993 is about 303.4997290441.

The spelling of 27955993 in words is "twenty-seven million, nine hundred fifty-five thousand, nine hundred ninety-three".

Divisors: 1 13 109 181 1417 2353 11881 19729 154453 256477 2150461 27955993