Search a number
-
+
5395930849 = 1722921492
BaseRepresentation
bin1010000011001111…
…10101111011100001
3111221001101200120201
411001213311323201
542022324241344
62251233305201
7250500440551
oct50147657341
914831350521
105395930849
112319953791
121067105201
1367cba6cba
143928c7161
15218ab44d4
hex1419f5ee1

5395930849 has 27 divisors (see below), whose sum is σ = 5976590347. Its totient is φ = 4870492928.

The previous prime is 5395930843. The next prime is 5395930861. The reversal of 5395930849 is 9480395935.

It is a happy number.

The square root of 5395930849 is 73457.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3319488225 + 2076442624 = 57615^2 + 45568^2 .

It is not a de Polignac number, because 5395930849 - 25 = 5395930817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5395930849.

It is not an unprimeable number, because it can be changed into a prime (5395930843) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36214227 + ... + 36214375.

Almost surely, 25395930849 is an apocalyptic number.

5395930849 is the 73457-th square number.

5395930849 is the 36729-th centered octagonal number.

It is an amenable number.

5395930849 is a deficient number, since it is larger than the sum of its proper divisors (580659498).

5395930849 is an equidigital number, since it uses as much as digits as its factorization.

5395930849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 55.

The cubic root of 5395930849 is about 1753.9698555356.

The spelling of 5395930849 in words is "five billion, three hundred ninety-five million, nine hundred thirty thousand, eight hundred forty-nine".

Divisors: 1 17 29 149 289 493 841 2533 4321 8381 14297 22201 43061 73457 125309 243049 377417 643829 1248769 2130253 6416089 10945093 18671041 36214301 186066581 317407697 5395930849