Search a number
-
+
728079972 = 223257307769
BaseRepresentation
bin101011011001011…
…001111001100100
31212202000021221220
4223121121321210
52442342024342
6200125140340
724020402064
oct5331317144
91782007856
10728079972
11343a89294
121839ba6b0
13b7ac1469
146c9a73a4
1543dbc5ec
hex2b659e64

728079972 has 48 divisors (see below), whose sum is σ = 1713243840. Its totient is φ = 240648192.

The previous prime is 728079971. The next prime is 728079977. The reversal of 728079972 is 279970827.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (728079971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946404 + ... + 947172.

It is an arithmetic number, because the mean of its divisors is an integer number (35692580).

Almost surely, 2728079972 is an apocalyptic number.

It is an amenable number.

728079972 is an abundant number, since it is smaller than the sum of its proper divisors (985163868).

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

728079972 is a wasteful number, since it uses less digits than its factorization.

728079972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The square root of 728079972 is about 26982.9570655256. The cubic root of 728079972 is about 899.6212282678.

The spelling of 728079972 in words is "seven hundred twenty-eight million, seventy-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 257 307 514 614 769 771 921 1028 1228 1538 1542 1842 2307 3076 3084 3684 4614 9228 78899 157798 197633 236083 236697 315596 395266 472166 473394 592899 708249 790532 944332 946788 1185798 1416498 2371596 2832996 60673331 121346662 182019993 242693324 364039986 728079972