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27948137 = 7137151193
BaseRepresentation
bin110101010011…
…1010001101001
31221120220122012
41222213101221
524123320022
62435005305
7456361310
oct152472151
957526565
1027948137
1114859938
129439835
135a37079
1439d7277
1526c0de2
hex1aa7469

27948137 has 16 divisors (see below), whose sum is σ = 32554752. Its totient is φ = 23500800.

The previous prime is 27948133. The next prime is 27948139. The reversal of 27948137 is 73184972.

It is a cyclic number.

It is not a de Polignac number, because 27948137 - 22 = 27948133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27948094 and 27948103.

It is not an unprimeable number, because it can be changed into a prime (27948131) 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, 144713 + ... + 144905.

It is an arithmetic number, because the mean of its divisors is an integer number (2034672).

Almost surely, 227948137 is an apocalyptic number.

It is an amenable number.

27948137 is a deficient number, since it is larger than the sum of its proper divisors (4606615).

27948137 is a wasteful number, since it uses less digits than its factorization.

27948137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488.

The product of its digits is 84672, while the sum is 41.

The square root of 27948137 is about 5286.5997578784. The cubic root of 27948137 is about 303.4712972484.

The spelling of 27948137 in words is "twenty-seven million, nine hundred forty-eight thousand, one hundred thirty-seven".

Divisors: 1 7 137 151 193 959 1057 1351 20687 26441 29143 144809 185087 204001 3992591 27948137