Search a number
-
+
426728011 = 19291375653
BaseRepresentation
bin11001011011110…
…101101001001011
31002201222000210011
4121123311221023
51333220244021
6110202132351
713401061663
oct3133655113
91081860704
10426728011
111a9971086
12baab10b7
136a53c1a8
14409611a3
15276e2de1
hex196f5a4b

426728011 has 16 divisors (see below), whose sum is σ = 468151200. Its totient is φ = 387410688.

The previous prime is 426728009. The next prime is 426728023. The reversal of 426728011 is 110827624.

It is a cyclic number.

It is not a de Polignac number, because 426728011 - 21 = 426728009 is a prime.

It is a super-3 number, since 3×4267280113 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (426728111) 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 15 ways as a sum of consecutive naturals, for example, 72661 + ... + 78313.

It is an arithmetic number, because the mean of its divisors is an integer number (29259450).

Almost surely, 2426728011 is an apocalyptic number.

426728011 is a deficient number, since it is larger than the sum of its proper divisors (41423189).

426728011 is a wasteful number, since it uses less digits than its factorization.

426728011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 426728011 is about 20657.3960362869. The cubic root of 426728011 is about 752.8649008932.

The spelling of 426728011 in words is "four hundred twenty-six million, seven hundred twenty-eight thousand, eleven".

Divisors: 1 19 29 137 551 2603 3973 5653 75487 107407 163937 774461 3114803 14714759 22459369 426728011