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27148149 = 3373792
BaseRepresentation
bin110011110001…
…1111101110101
31220002021021000
41213203331311
523422220044
62405513513
7446520060
oct147437565
956067230
1027148149
1114362896
129112899
135816bc2
1438698d7
1525b3d69
hex19e3f75

27148149 has 24 divisors (see below), whose sum is σ = 46086720. Its totient is φ = 15472296.

The previous prime is 27148141. The next prime is 27148151. The reversal of 27148149 is 94184172.

It is not a de Polignac number, because 27148149 - 23 = 27148141 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27148141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71442 + ... + 71820.

It is an arithmetic number, because the mean of its divisors is an integer number (1920280).

Almost surely, 227148149 is an apocalyptic number.

It is an amenable number.

27148149 is a deficient number, since it is larger than the sum of its proper divisors (18938571).

27148149 is an frugal number, since it uses more digits than its factorization.

27148149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 389 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 27148149 is about 5210.3885651648. The cubic root of 27148149 is about 300.5476994758.

The spelling of 27148149 in words is "twenty-seven million, one hundred forty-eight thousand, one hundred forty-nine".

Divisors: 1 3 7 9 21 27 63 189 379 1137 2653 3411 7959 10233 23877 71631 143641 430923 1005487 1292769 3016461 3878307 9049383 27148149