Search a number
-
+
676287976 = 237132193761
BaseRepresentation
bin101000010011110…
…101010111101000
31202010112222200211
4220103311113220
52341112203401
6151035110504
722521232030
oct5023652750
91663488624
10676287976
11317824191
1216a5a2434
13aa159500
1465b648c0
153e58b951
hex284f55e8

676287976 has 96 divisors (see below), whose sum is σ = 1652270400. Its totient is φ = 253393920.

The previous prime is 676287947. The next prime is 676287991. The reversal of 676287976 is 679782676.

It is a happy number.

676287976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cake number, because a cake can be divided into 676287976 parts by 1595 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 676287976.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177936 + ... + 181696.

It is an arithmetic number, because the mean of its divisors is an integer number (17211150).

Almost surely, 2676287976 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 676287976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826135200).

676287976 is an abundant number, since it is smaller than the sum of its proper divisors (975982424).

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

676287976 is a wasteful number, since it uses less digits than its factorization.

676287976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3802 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 58.

The square root of 676287976 is about 26005.5374103286. The cubic root of 676287976 is about 877.7629024784.

The spelling of 676287976 in words is "six hundred seventy-six million, two hundred eighty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 169 182 247 266 338 364 494 532 676 728 988 1064 1183 1352 1729 1976 2366 3211 3458 3761 4732 6422 6916 7522 9464 12844 13832 15044 22477 25688 26327 30088 44954 48893 52654 71459 89908 97786 105308 142918 179816 195572 210616 285836 342251 391144 500213 571672 635609 684502 928967 1000426 1271218 1369004 1857934 2000852 2542436 2738008 3715868 4001704 4449263 5084872 6502769 7431736 8898526 12076571 13005538 17797052 24153142 26011076 35594104 48306284 52022152 84535997 96612568 169071994 338143988 676287976