Search a number
-
+
427006017 = 321723121343
BaseRepresentation
bin11001011100111…
…001100001000001
31002202111011010200
4121130321201001
51333303143032
6110212115413
713403330334
oct3134714101
91082434120
10427006017
111aa040a39
12bb005b69
136a6088a9
14409d461b
152774a47c
hex19739841

427006017 has 24 divisors (see below), whose sum is σ = 681467904. Its totient is φ = 256274304.

The previous prime is 427006009. The next prime is 427006031. The reversal of 427006017 is 710600724.

It is not a de Polignac number, because 427006017 - 23 = 427006009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (427006007) 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, 57153 + ... + 64190.

It is an arithmetic number, because the mean of its divisors is an integer number (28394496).

Almost surely, 2427006017 is an apocalyptic number.

It is an amenable number.

427006017 is a deficient number, since it is larger than the sum of its proper divisors (254461887).

427006017 is a wasteful number, since it uses less digits than its factorization.

427006017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121389 (or 121386 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 427006017 is about 20664.1239107783. The cubic root of 427006017 is about 753.0283582702.

The spelling of 427006017 in words is "four hundred twenty-seven million, six thousand, seventeen".

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3519 121343 364029 1092087 2062831 2790889 6188493 8372667 18565479 25118001 47445113 142335339 427006017