Search a number
-
+
728992404 = 2232723113331
BaseRepresentation
bin101011011100111…
…000101010010100
31212210201122120200
4223130320222110
52443110224104
6200200500500
724031222200
oct5334705224
91783648520
10728992404
11344551868
1218417a730
13b805086a
146cb63b00
1543eecb39
hex2b738a94

728992404 has 108 divisors (see below), whose sum is σ = 2212898688. Its totient is φ = 201549600.

The previous prime is 728992349. The next prime is 728992457. The reversal of 728992404 is 404299827.

728992404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 728992404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48019 + ... + 61349.

Almost surely, 2728992404 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 728992404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106449344).

728992404 is an abundant number, since it is smaller than the sum of its proper divisors (1483906284).

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

728992404 is a wasteful number, since it uses less digits than its factorization.

728992404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13386 (or 13374 counting only the distinct ones).

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

The square root of 728992404 is about 26999.8593329669. The cubic root of 728992404 is about 899.9968740632.

The spelling of 728992404 in words is "seven hundred twenty-eight million, nine hundred ninety-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1302 1519 1764 1953 2604 3038 3906 4557 6076 7812 9114 13331 13671 18228 26662 27342 39993 53324 54684 79986 93317 119979 159972 186634 239958 279951 373268 413261 479916 559902 653219 826522 839853 1119804 1239783 1306438 1653044 1679706 1959657 2479566 2612876 2892827 3359412 3719349 3919314 4959132 5785654 5878971 7438698 7838628 8678481 11571308 11757942 14877396 17356962 20249789 23515884 26035443 34713924 40499578 52070886 60749367 80999156 104141772 121498734 182248101 242997468 364496202 728992404