Search a number
-
+
685684512 = 253215432
BaseRepresentation
bin101000110111101…
…011011100100000
31202210020101022200
4220313223130200
52401013401022
6152012333200
722664136132
oct5067533440
91683211280
10685684512
11322061a17
12171774200
13ac0994a6
14670cd052
15402e5bac
hex28deb720

685684512 has 54 divisors (see below), whose sum is σ = 1951179867. Its totient is φ = 228413376.

The previous prime is 685684501. The next prime is 685684553. The reversal of 685684512 is 215486586.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

685684512 is a `hidden beast` number, since 6 + 8 + 56 + 84 + 512 = 666.

685684512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 342842256 + 342842256 = 18516^2 + 18516^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=18516.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 443613 + ... + 445155.

Almost surely, 2685684512 is an apocalyptic number.

It is an amenable number.

685684512 is an abundant number, since it is smaller than the sum of its proper divisors (1265495355).

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

685684512 is an equidigital number, since it uses as much as digits as its factorization.

685684512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 1548 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 685684512 is about 26185.5783209002. The cubic root of 685684512 is about 881.8095135243.

Multiplying 685684512 by its product of digits (460800), we get a square (315963423129600 = 177753602).

The spelling of 685684512 in words is "six hundred eighty-five million, six hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1543 3086 4629 6172 9258 12344 13887 18516 24688 27774 37032 49376 55548 74064 111096 148128 222192 444384 2380849 4761698 7142547 9523396 14285094 19046792 21427641 28570188 38093584 42855282 57140376 76187168 85710564 114280752 171421128 228561504 342842256 685684512