Search a number
-
+
5973280369 = 726121812
BaseRepresentation
bin1011001000000100…
…10000011001110001
3120102021210002020021
411210002100121301
544213124432434
62424420043441
7301011021400
oct54402203161
916367702207
105973280369
112595840a51
1211a8533581
137426a1c34
14409455637
1524e60acb4
hex164090671

5973280369 has 27 divisors (see below), whose sum is σ = 7103532033. Its totient is φ = 5008197600.

The previous prime is 5973280351. The next prime is 5973280373. The reversal of 5973280369 is 9630823795.

The square root of 5973280369 is 77287.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5496294769 + 476985600 = 74137^2 + 21840^2 .

It is not a de Polignac number, because 5973280369 - 27 = 5973280241 is a prime.

It is a super-2 number, since 2×59732803692 = 71360156733361552322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5973280319) 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, 33001459 + ... + 33001639.

It is an arithmetic number, because the mean of its divisors is an integer number (263093779).

Almost surely, 25973280369 is an apocalyptic number.

5973280369 is the 77287-th square number.

5973280369 is the 38644-th centered octagonal number.

It is an amenable number.

5973280369 is a deficient number, since it is larger than the sum of its proper divisors (1130251664).

5973280369 is an frugal number, since it uses more digits than its factorization.

5973280369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 52.

The cubic root of 5973280369 is about 1814.4192015270.

The spelling of 5973280369 in words is "five billion, nine hundred seventy-three million, two hundred eighty thousand, three hundred sixty-nine".

Divisors: 1 7 49 61 181 427 1267 2989 3721 8869 11041 26047 32761 77287 182329 229327 541009 673501 1605289 1998421 4714507 13988947 33001549 97922629 121903681 853325767 5973280369