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682556928 = 2931273499
BaseRepresentation
bin101000101011101…
…111111000000000
31202120100111002020
4220223233320000
52344213310203
6151421321440
722625431614
oct5053577000
91676314066
10682556928
11320316139
12170706280
13ab542a51
1466917344
153edc9153
hex28aefe00

682556928 has 80 divisors (see below), whose sum is σ = 1833216000. Its totient is φ = 225662976.

The previous prime is 682556873. The next prime is 682556929. The reversal of 682556928 is 829655286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682556929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193323 + ... + 196821.

It is an arithmetic number, because the mean of its divisors is an integer number (22915200).

Almost surely, 2682556928 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 682556928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916608000).

682556928 is an abundant number, since it is smaller than the sum of its proper divisors (1150659072).

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

682556928 is a wasteful number, since it uses less digits than its factorization.

682556928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3631 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 682556928 is about 26125.7904760794. The cubic root of 682556928 is about 880.4667496387.

The spelling of 682556928 in words is "six hundred eighty-two million, five hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1524 1536 2032 3048 3499 4064 6096 6998 8128 10497 12192 13996 16256 20994 24384 27992 32512 41988 48768 55984 65024 83976 97536 111968 167952 195072 223936 335904 444373 447872 671808 888746 895744 1333119 1343616 1777492 1791488 2666238 2687232 3554984 5332476 5374464 7109968 10664952 14219936 21329904 28439872 42659808 56879744 85319616 113759488 170639232 227518976 341278464 682556928