Search a number
-
+
728069472 = 253413173141
BaseRepresentation
bin101011011001010…
…111010101100000
31212201222202120000
4223121113111200
52442341210342
6200125020000
724020326344
oct5331272540
91781882500
10728069472
11343a81409
121839b4600
13b7ab9750
146c9a3624
1543db944c
hex2b657560

728069472 has 480 divisors, whose sum is σ = 2581818624. Its totient is φ = 199065600.

The previous prime is 728069453. The next prime is 728069473. The reversal of 728069472 is 274960827.

728069472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728069473) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17757772 + ... + 17757812.

Almost surely, 2728069472 is an apocalyptic number.

728069472 is a gapful number since it is divisible by the number (72) 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 728069472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290909312).

728069472 is an abundant number, since it is smaller than the sum of its proper divisors (1853749152).

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

728069472 is a wasteful number, since it uses less digits than its factorization.

728069472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 728069472 is about 26982.7624975650. The cubic root of 728069472 is about 899.6169036200.

The spelling of 728069472 in words is "seven hundred twenty-eight million, sixty-nine thousand, four hundred seventy-two".