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42586011 = 32131919157
BaseRepresentation
bin1010001001110…
…0111110011011
32222010121000200
42202130332123
541400223021
64120433243
71024655316
oct242347633
988117020
1042586011
1122047556
1212318823
138a90930
14592797d
153b13126
hex289cf9b

42586011 has 24 divisors (see below), whose sum is σ = 69735120. Its totient is φ = 24826176.

The previous prime is 42586009. The next prime is 42586031. The reversal of 42586011 is 11068524.

42586011 is a `hidden beast` number, since 4 + 2 + 58 + 601 + 1 = 666.

It is not a de Polignac number, because 42586011 - 21 = 42586009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42586031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7356 + ... + 11801.

It is an arithmetic number, because the mean of its divisors is an integer number (2905630).

Almost surely, 242586011 is an apocalyptic number.

42586011 is a deficient number, since it is larger than the sum of its proper divisors (27149109).

42586011 is a wasteful number, since it uses less digits than its factorization.

42586011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19195 (or 19192 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 42586011 is about 6525.7958135388. The cubic root of 42586011 is about 349.2118619589.

It can be divided in two parts, 425 and 86011, that added together give a square (86436 = 2942).

The spelling of 42586011 in words is "forty-two million, five hundred eighty-six thousand, eleven".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 2223 19157 57471 172413 249041 363983 747123 1091949 2241369 3275847 4731779 14195337 42586011