Search a number
-
+
728822672 = 24196133911
BaseRepresentation
bin101011011100001…
…111001110010000
31212210102000202022
4223130033032100
52443034311142
6200153111012
724026614304
oct5334171620
91783360668
10728822672
11344446296
121840b8468
13b7cc1526
146cb1bd04
1543eb76d2
hex2b70f390

728822672 has 40 divisors (see below), whose sum is σ = 1489220160. Its totient is φ = 344580480.

The previous prime is 728822671. The next prime is 728822701. The reversal of 728822672 is 276228827.

728822672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (728822671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184397 + ... + 188307.

It is an arithmetic number, because the mean of its divisors is an integer number (37230504).

Almost surely, 2728822672 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 728822672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744610080).

728822672 is an abundant number, since it is smaller than the sum of its proper divisors (760397488).

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

728822672 is a wasteful number, since it uses less digits than its factorization.

728822672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4545 counting only the distinct ones).

The product of its digits is 301056, while the sum is 44.

The square root of 728822672 is about 26996.7159484260. The cubic root of 728822672 is about 899.9270195966.

The spelling of 728822672 in words is "seven hundred twenty-eight million, eight hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 613 1226 2452 3911 4904 7822 9808 11647 15644 23294 31288 46588 62576 74309 93176 148618 186352 297236 594472 1188944 2397443 4794886 9589772 19179544 38359088 45551417 91102834 182205668 364411336 728822672