Search a number
-
+
819029035 = 51121353767
BaseRepresentation
bin110000110100010…
…110010000101011
32010002010222121201
4300310112100223
53134132412120
6213134345031
726203426516
oct6064262053
92102128551
10819029035
11390358700
121aa35b177
131008b6386
147aabdd7d
154bd8540a
hex30d1642b

819029035 has 12 divisors (see below), whose sum is σ = 1080306864. Its totient is φ = 595657040.

The previous prime is 819029033. The next prime is 819029047. The reversal of 819029035 is 530920918.

It is not a de Polignac number, because 819029035 - 21 = 819029033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 819028985 and 819029003.

It is not an unprimeable number, because it can be changed into a prime (819029033) 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 11 ways as a sum of consecutive naturals, for example, 676279 + ... + 677488.

It is an arithmetic number, because the mean of its divisors is an integer number (90025572).

Almost surely, 2819029035 is an apocalyptic number.

819029035 is a deficient number, since it is larger than the sum of its proper divisors (261277829).

819029035 is a wasteful number, since it uses less digits than its factorization.

819029035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353794 (or 1353783 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 819029035 is about 28618.6833205163. The cubic root of 819029035 is about 935.6205799426.

The spelling of 819029035 in words is "eight hundred nineteen million, twenty-nine thousand, thirty-five".

Divisors: 1 5 11 55 121 605 1353767 6768835 14891437 74457185 163805807 819029035