Search a number
-
+
3062809728 = 2732111912721
BaseRepresentation
bin1011011010001110…
…1100010010000000
321220110012212002100
42312203230102000
522233034402403
61223530350400
7135620311266
oct26643542200
97813185070
103062809728
111331970310
1271588b400
1339a706364
14210ab6436
1512dd4e2a3
hexb68ec480

3062809728 has 192 divisors, whose sum is σ = 10121623200. Its totient is φ = 879206400.

The previous prime is 3062809721. The next prime is 3062809733. The reversal of 3062809728 is 8279082603.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3062809721) 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 23 ways as a sum of consecutive naturals, for example, 234408 + ... + 247128.

Almost surely, 23062809728 is an apocalyptic number.

3062809728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3062809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060811600).

3062809728 is an abundant number, since it is smaller than the sum of its proper divisors (7058813472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3062809728 is a wasteful number, since it uses less digits than its factorization.

3062809728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12771 (or 12756 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3062809728 is about 55342.6573991528. The cubic root of 3062809728 is about 1452.2453880287.

The spelling of 3062809728 in words is "three billion, sixty-two million, eight hundred nine thousand, seven hundred twenty-eight".