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686388096 = 27324491327
BaseRepresentation
bin101000111010010…
…111001110000000
31202211120010110100
4220322113032000
52401203404341
6152035402400
723003126322
oct5072271600
91684503410
10686388096
113224a2599
12171a53400
13ac284804
1467233612
15403d43b6
hex28e97380

686388096 has 96 divisors (see below), whose sum is σ = 1981044000. Its totient is φ = 228114432.

The previous prime is 686388083. The next prime is 686388113. The reversal of 686388096 is 690883686.

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

It is a super-2 number, since 2×6863880962 = 942257236661010432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516585 + ... + 517911.

It is an arithmetic number, because the mean of its divisors is an integer number (20635875).

Almost surely, 2686388096 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 686388096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990522000).

686388096 is an abundant number, since it is smaller than the sum of its proper divisors (1294655904).

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

686388096 is a wasteful number, since it uses less digits than its factorization.

686388096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 686388096 is about 26199.0094469238. The cubic root of 686388096 is about 882.1110200077. Note that the first 3 decimals are identical.

The spelling of 686388096 in words is "six hundred eighty-six million, three hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 449 576 898 1152 1327 1347 1796 2654 2694 3592 3981 4041 5308 5388 7184 7962 8082 10616 10776 11943 14368 15924 16164 21232 21552 23886 28736 31848 32328 42464 43104 47772 57472 63696 64656 84928 86208 95544 127392 129312 169856 172416 191088 254784 258624 382176 509568 517248 595823 764352 1191646 1528704 1787469 2383292 3574938 4766584 5362407 7149876 9533168 10724814 14299752 19066336 21449628 28599504 38132672 42899256 57199008 76265344 85798512 114398016 171597024 228796032 343194048 686388096