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728730912 = 25371383417
BaseRepresentation
bin101011011011111…
…000110100100000
31212210020100212210
4223123320310200
52443023342122
6200151122120
724026052630
oct5333706440
91783210783
10728730912
11344393358
12184073340
13b7c8b830
146cad66c0
1543e9a40c
hex2b6f8d20

728730912 has 96 divisors (see below), whose sum is σ = 2354389632. Its totient is φ = 192190464.

The previous prime is 728730887. The next prime is 728730913. The reversal of 728730912 is 219037827.

728730912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (728730913) 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, 32973 + ... + 50444.

It is an arithmetic number, because the mean of its divisors is an integer number (24524892).

Almost surely, 2728730912 is an apocalyptic number.

It is an amenable number.

728730912 is an abundant number, since it is smaller than the sum of its proper divisors (1625658720).

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

728730912 is a wasteful number, since it uses less digits than its factorization.

728730912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83450 (or 83442 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 728730912 is about 26995.0164289633. The cubic root of 728730912 is about 899.8892505698.

The spelling of 728730912 in words is "seven hundred twenty-eight million, seven hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 83417 166834 250251 333668 500502 583919 667336 1001004 1084421 1167838 1334672 1751757 2002008 2168842 2335676 2669344 3253263 3503514 4004016 4337684 4671352 6506526 7007028 7590947 8008032 8675368 9342704 13013052 14014056 15181894 17350736 18685408 22772841 26026104 28028112 30363788 34701472 45545682 52052208 56056224 60727576 91091364 104104416 121455152 182182728 242910304 364365456 728730912