Search a number
-
+
728494048 = 25193138651
BaseRepresentation
bin101011011010111…
…110111111100000
31212202210022222001
4223122332333200
52442443302143
6200142053344
724024045232
oct5332767740
91782708861
10728494048
113442413a7
12183b7a254
13b7c07a89
146ca74252
1543e5014d
hex2b6befe0

728494048 has 48 divisors (see below), whose sum is σ = 1558448640. Its totient is φ = 333936000.

The previous prime is 728494043. The next prime is 728494061. The reversal of 728494048 is 840494827.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 728493989 and 728494007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728494043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478 + ... + 38173.

It is an arithmetic number, because the mean of its divisors is an integer number (32467680).

Almost surely, 2728494048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728494048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779224320).

728494048 is an abundant number, since it is smaller than the sum of its proper divisors (829954592).

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

728494048 is a wasteful number, since it uses less digits than its factorization.

728494048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38711 (or 38703 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 728494048 is about 26990.6288922656. The cubic root of 728494048 is about 899.7917411133.

The spelling of 728494048 in words is "seven hundred twenty-eight million, four hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1178 2356 4712 9424 18848 38651 77302 154604 309208 618416 734369 1198181 1236832 1468738 2396362 2937476 4792724 5874952 9585448 11749904 19170896 22765439 23499808 38341792 45530878 91061756 182123512 364247024 728494048