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39105079 = 1322979101
BaseRepresentation
bin1001010100101…
…1001000110111
32201120202002021
42111023020313
540002330304
63514054011
7653246656
oct225131067
981522067
1039105079
112008a252
121111a307
138142400
14529d19d
153676a54
hex254b237

39105079 has 24 divisors (see below), whose sum is σ = 44798400. Its totient is φ = 34070400.

The previous prime is 39105071. The next prime is 39105127. The reversal of 39105079 is 97050193.

39105079 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 39105079 - 23 = 39105071 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39105071) 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 23 ways as a sum of consecutive naturals, for example, 387129 + ... + 387229.

It is an arithmetic number, because the mean of its divisors is an integer number (1866600).

Almost surely, 239105079 is an apocalyptic number.

39105079 is a deficient number, since it is larger than the sum of its proper divisors (5693321).

39105079 is a wasteful number, since it uses less digits than its factorization.

39105079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 34.

The square root of 39105079 is about 6253.4053922643. The cubic root of 39105079 is about 339.4254396415.

The spelling of 39105079 in words is "thirty-nine million, one hundred five thousand, seventy-nine".

Divisors: 1 13 29 79 101 169 377 1027 1313 2291 2929 4901 7979 13351 17069 29783 38077 103727 231391 387179 495001 1348451 3008083 39105079