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42766017 = 3719107183
BaseRepresentation
bin1010001100100…
…0111011000001
32222110201221120
42203020323001
541422003032
64124342453
71026335160
oct243107301
988421846
1042766017
112215a818
12123a4a29
138b24848
1459733d7
153b4b62c
hex28c8ec1

42766017 has 16 divisors (see below), whose sum is σ = 68597760. Its totient is φ = 23151312.

The previous prime is 42766007. The next prime is 42766027. The reversal of 42766017 is 71066724.

It is an interprime number because it is at equal distance from previous prime (42766007) and next prime (42766027).

It is not a de Polignac number, because 42766017 - 24 = 42766001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42766007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53193 + ... + 53990.

It is an arithmetic number, because the mean of its divisors is an integer number (4287360).

Almost surely, 242766017 is an apocalyptic number.

It is an amenable number.

42766017 is a deficient number, since it is larger than the sum of its proper divisors (25831743).

42766017 is a wasteful number, since it uses less digits than its factorization.

42766017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107212.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 42766017 is about 6539.5731512080. The cubic root of 42766017 is about 349.7031959970.

The spelling of 42766017 in words is "forty-two million, seven hundred sixty-six thousand, seventeen".

Divisors: 1 3 7 19 21 57 133 399 107183 321549 750281 2036477 2250843 6109431 14255339 42766017