Search a number
-
+
819888012 = 223285926513
BaseRepresentation
bin110000110111100…
…111111110001100
32010010202121220200
4300313213332030
53134342404022
6213205013500
726213635026
oct6067477614
92103677820
10819888012
11390894aa9
121aa6b4290
13100b27348
147ac65016
154bea4bac
hex30de7f8c

819888012 has 36 divisors (see below), whose sum is σ = 2074985640. Its totient is φ = 272967552.

The previous prime is 819888011. The next prime is 819888067. The reversal of 819888012 is 210888918.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (819888011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17668 + ... + 44180.

It is an arithmetic number, because the mean of its divisors is an integer number (57638490).

Almost surely, 2819888012 is an apocalyptic number.

It is an amenable number.

819888012 is an abundant number, since it is smaller than the sum of its proper divisors (1255097628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

819888012 is a wasteful number, since it uses less digits than its factorization.

819888012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27382 (or 27377 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The square root of 819888012 is about 28633.6866644866. The cubic root of 819888012 is about 935.9475507538.

It can be divided in two parts, 81988 and 8012, that added together give a square (90000 = 3002).

The spelling of 819888012 in words is "eight hundred nineteen million, eight hundred eighty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 859 1718 2577 3436 5154 7731 10308 15462 26513 30924 53026 79539 106052 159078 238617 318156 477234 954468 22774667 45549334 68324001 91098668 136648002 204972003 273296004 409944006 819888012