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685808032 = 25713435477
BaseRepresentation
bin101000111000001…
…001100110100000
31202210110122202111
4220320021212200
52401031324112
6152015125104
722665162220
oct5070114640
91683418674
10685808032
113221367a8
12171813794
13ac110790
1467122080
154031c5a7
hex28e099a0

685808032 has 96 divisors (see below), whose sum is σ = 1700721792. Its totient is φ = 264950784.

The previous prime is 685808027. The next prime is 685808041. The reversal of 685808032 is 230808586.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122478 + ... + 127954.

It is an arithmetic number, because the mean of its divisors is an integer number (17715852).

Almost surely, 2685808032 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 685808032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850360896).

685808032 is an abundant number, since it is smaller than the sum of its proper divisors (1014913760).

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

685808032 is a wasteful number, since it uses less digits than its factorization.

685808032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 685808032 is about 26187.9367648542. The cubic root of 685808032 is about 881.8624604065.

It can be divided in two parts, 68 and 5808032, that added together give a square (5808100 = 24102).

The spelling of 685808032 in words is "six hundred eighty-five million, eight hundred eight thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 43 52 56 86 91 104 112 172 182 208 224 301 344 364 416 559 602 688 728 1118 1204 1376 1456 2236 2408 2912 3913 4472 4816 5477 7826 8944 9632 10954 15652 17888 21908 31304 38339 43816 62608 71201 76678 87632 125216 142402 153356 175264 235511 284804 306712 471022 498407 569608 613424 942044 996814 1139216 1226848 1648577 1884088 1993628 2278432 3061643 3297154 3768176 3987256 6123286 6594308 7536352 7974512 12246572 13188616 15949024 21431501 24493144 26377232 42863002 48986288 52754464 85726004 97972576 171452008 342904016 685808032