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682557304 = 231113619781
BaseRepresentation
bin101000101011101…
…111111101111000
31202120100111121011
4220223233331320
52344213313204
6151421323304
722625432662
oct5053577570
91676314534
10682557304
11320316450
12170706534
13ab542c80
1466917532
153edc9304
hex28aeff78

682557304 has 64 divisors (see below), whose sum is σ = 1528339680. Its totient is φ = 281664000.

The previous prime is 682557301. The next prime is 682557307. The reversal of 682557304 is 403755286.

It is an interprime number because it is at equal distance from previous prime (682557301) and next prime (682557307).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682557301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64894 + ... + 74674.

Almost surely, 2682557304 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 682557304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764169840).

682557304 is an abundant number, since it is smaller than the sum of its proper divisors (845782376).

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

682557304 is a wasteful number, since it uses less digits than its factorization.

682557304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9872 (or 9868 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 682557304 is about 26125.7976720329. The cubic root of 682557304 is about 880.4669113128.

The spelling of 682557304 in words is "six hundred eighty-two million, five hundred fifty-seven thousand, three hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 61 88 104 122 143 244 286 488 572 671 793 1144 1342 1586 2684 3172 5368 6344 8723 9781 17446 19562 34892 39124 69784 78248 107591 127153 215182 254306 430364 508612 596641 860728 1017224 1193282 1398683 2386564 2797366 4773128 5594732 6563051 7756333 11189464 13126102 15512666 26252204 31025332 52504408 62050664 85319663 170639326 341278652 682557304