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4189843441 = 7413212
BaseRepresentation
bin1111100110111011…
…1110111111110001
3101210222221002200201
43321232332333301
532040044442231
61531430515201
7205554040000
oct37156767761
911728832621
104189843441
11186006a433
1298b205b01
1351a060b04
142ba650c37
15197c75161
hexf9bbeff1

4189843441 has 15 divisors (see below), whose sum is σ = 4891562763. Its totient is φ = 3588575760.

The previous prime is 4189843433. The next prime is 4189843453. The reversal of 4189843441 is 1443489814.

The square root of 4189843441 is 64729.

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., 3878673841 + 311169600 = 62279^2 + 17640^2 .

It is not a de Polignac number, because 4189843441 - 23 = 4189843433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4189843391 and 4189843400.

It is not an unprimeable number, because it can be changed into a prime (4189843241) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3171061 + ... + 3172381.

Almost surely, 24189843441 is an apocalyptic number.

4189843441 is the 64729-th square number.

4189843441 is the 32365-th centered octagonal number.

It is an amenable number.

4189843441 is a deficient number, since it is larger than the sum of its proper divisors (701719322).

4189843441 is an frugal number, since it uses more digits than its factorization.

4189843441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 1328 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The cubic root of 4189843441 is about 1612.1270499860.

The spelling of 4189843441 in words is "four billion, one hundred eighty-nine million, eight hundred forty-three thousand, four hundred forty-one".

Divisors: 1 7 49 343 1321 2401 9247 64729 453103 1745041 3171721 12215287 85507009 598549063 4189843441