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682813728 = 25322370881
BaseRepresentation
bin101000101100101…
…110100100100000
31202120211112100100
4220230232210200
52344300014403
6151431022400
722630551402
oct5054564440
91676745310
10682813728
11320481073
1217080aa00
13ab6028bc
1466982b72
153ee2a2a3
hex28b2e920

682813728 has 36 divisors (see below), whose sum is σ = 1941752358. Its totient is φ = 227604480.

The previous prime is 682813709. The next prime is 682813739. The reversal of 682813728 is 827318286.

It can be written as a sum of positive squares in only one way, i.e., 599858064 + 82955664 = 24492^2 + 9108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1185153 + ... + 1185728.

Almost surely, 2682813728 is an apocalyptic number.

It is an amenable number.

682813728 is an abundant number, since it is smaller than the sum of its proper divisors (1258938630).

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

682813728 is a wasteful number, since it uses less digits than its factorization.

682813728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370897 (or 2370886 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 682813728 is about 26130.7046977306. The cubic root of 682813728 is about 880.5771558197.

The spelling of 682813728 in words is "six hundred eighty-two million, eight hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2370881 4741762 7112643 9483524 14225286 18967048 21337929 28450572 37934096 42675858 56901144 75868192 85351716 113802288 170703432 227604576 341406864 682813728