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682770816 = 27337132167
BaseRepresentation
bin101000101100100…
…100000110000000
31202120202100111000
4220230210012000
52344242131231
6151430052000
722630312320
oct5054440600
91676670430
10682770816
11320451902
121707aa000
13ab5b9200
1466971280
153ee1c6e6
hex28b24180

682770816 has 384 divisors, whose sum is σ = 2508710400. Its totient is φ = 178993152.

The previous prime is 682770799. The next prime is 682770817. The reversal of 682770816 is 618077286.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682770817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4088365 + ... + 4088531.

It is an arithmetic number, because the mean of its divisors is an integer number (6533100).

Almost surely, 2682770816 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 682770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254355200).

682770816 is an abundant number, since it is smaller than the sum of its proper divisors (1825939584).

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

682770816 is a wasteful number, since it uses less digits than its factorization.

682770816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 682770816 is about 26129.8835818302. The cubic root of 682770816 is about 880.5587085639.

The spelling of 682770816 in words is "six hundred eighty-two million, seven hundred seventy thousand, eight hundred sixteen".