Search a number
-
+
1383616809 = 3441332
BaseRepresentation
bin101001001111000…
…0101000100101001
310120102112000110000
41102132011010221
510313201214214
6345143413213
746200356151
oct12236050451
93512460400
101383616809
11650019873
12327454209
13190863693
14d1a89761
158170a809
hex52785129

1383616809 has 15 divisors (see below), whose sum is σ = 2067384583. Its totient is φ = 922188024.

The previous prime is 1383616789. The next prime is 1383616849. The reversal of 1383616809 is 9086163831.

It is a happy number.

The square root of 1383616809 is 37197.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1023680025 + 359936784 = 31995^2 + 18972^2 .

It is not a de Polignac number, because 1383616809 - 25 = 1383616777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1383616849) 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 14 ways as a sum of consecutive naturals, for example, 332707 + ... + 336839.

Almost surely, 21383616809 is an apocalyptic number.

1383616809 is the 37197-th square number.

1383616809 is the 18599-th centered octagonal number.

It is an amenable number.

1383616809 is a deficient number, since it is larger than the sum of its proper divisors (683767774).

1383616809 is an frugal number, since it uses more digits than its factorization.

1383616809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The cubic root of 1383616809 is about 1114.3080718464.

Multiplying 1383616809 by its product of nonzero digits (186624), we get a square (258216103362816 = 160691042).

The spelling of 1383616809 in words is "one billion, three hundred eighty-three million, six hundred sixteen thousand, eight hundred nine".

Divisors: 1 3 9 27 81 4133 12399 37197 111591 334773 17081689 51245067 153735201 461205603 1383616809