Search a number
-
+
1019048409 = 32330134301
BaseRepresentation
bin111100101111010…
…111000111011001
32122000112000121200
4330233113013121
54041334022114
6245041424413
734152524421
oct7457270731
92560460550
101019048409
11483254175
1224533b109
13133179432
14994a9481
155e6e5409
hex3cbd71d9

1019048409 has 12 divisors (see below), whose sum is σ = 1472447652. Its totient is φ = 679140000.

The previous prime is 1019048389. The next prime is 1019048417. The reversal of 1019048409 is 9048409101.

It can be written as a sum of positive squares in 2 ways, for example, as 144072009 + 874976400 = 12003^2 + 29580^2 .

It is not a de Polignac number, because 1019048409 - 217 = 1018917337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1019048509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12559 + ... + 46859.

It is an arithmetic number, because the mean of its divisors is an integer number (122703971).

Almost surely, 21019048409 is an apocalyptic number.

It is an amenable number.

1019048409 is a deficient number, since it is larger than the sum of its proper divisors (453399243).

1019048409 is a wasteful number, since it uses less digits than its factorization.

1019048409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37608 (or 37605 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1019048409 is about 31922.5376340917. The cubic root of 1019048409 is about 1006.3095751979.

The spelling of 1019048409 in words is "one billion, nineteen million, forty-eight thousand, four hundred nine".

Divisors: 1 3 9 3301 9903 29709 34301 102903 308709 113227601 339682803 1019048409