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682800432 = 24314225009
BaseRepresentation
bin101000101100101…
…011010100110000
31202120210212002220
4220230223110300
52344244103212
6151430441040
722630464546
oct5054532460
91676725086
10682800432
11320472086
12170803180
13ab5c9832
146697bd96
153ee2638c
hex28b2b530

682800432 has 20 divisors (see below), whose sum is σ = 1763901240. Its totient is φ = 227600128.

The previous prime is 682800421. The next prime is 682800439. The reversal of 682800432 is 234008286.

It is a junction number, because it is equal to n+sod(n) for n = 682800393 and 682800402.

It is not an unprimeable number, because it can be changed into a prime (682800439) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7112457 + ... + 7112552.

It is an arithmetic number, because the mean of its divisors is an integer number (88195062).

Almost surely, 2682800432 is an apocalyptic number.

It is an amenable number.

682800432 is an abundant number, since it is smaller than the sum of its proper divisors (1081100808).

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

682800432 is a wasteful number, since it uses less digits than its factorization.

682800432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14225020 (or 14225014 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 682800432 is about 26130.4502831467. The cubic root of 682800432 is about 880.5714401419.

The spelling of 682800432 in words is "six hundred eighty-two million, eight hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 14225009 28450018 42675027 56900036 85350054 113800072 170700108 227600144 341400216 682800432