Search a number
-
+
289973968 = 2435351341
BaseRepresentation
bin10001010010001…
…010011011010000
3202012122012111121
4101102022123100
51043213131333
644435052024
710120511104
oct2122123320
9665565447
10289973968
11139756809
1281141014
13480ca43b
142a723904
151a6cd32d
hex1148a6d0

289973968 has 20 divisors (see below), whose sum is σ = 563427108. Its totient is φ = 144573440.

The previous prime is 289973963. The next prime is 289973977. The reversal of 289973968 is 869379982.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 180311184 + 109662784 = 13428^2 + 10472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289973963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20023 + ... + 31318.

Almost surely, 2289973968 is an apocalyptic number.

It is an amenable number.

289973968 is a deficient number, since it is larger than the sum of its proper divisors (273453140).

289973968 is a wasteful number, since it uses less digits than its factorization.

289973968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51702 (or 51696 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 61.

The square root of 289973968 is about 17028.6220229354. The cubic root of 289973968 is about 661.8907886277.

It can be divided in two parts, 2899 and 73968, that added together give a palindrome (76867).

The spelling of 289973968 in words is "two hundred eighty-nine million, nine hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 353 706 1412 2824 5648 51341 102682 205364 410728 821456 18123373 36246746 72493492 144986984 289973968