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682166856 = 233741971021
BaseRepresentation
bin101000101010010…
…000101001001000
31202112121200000010
4220222100221020
52344113314411
6151405111520
722622215440
oct5052205110
91675550003
10682166856
1132007a068
121705585a0
13ab437337
1466855120
153ed4d7a6
hex28a90a48

682166856 has 128 divisors (see below), whose sum is σ = 2019144960. Its totient is φ = 188006400.

The previous prime is 682166851. The next prime is 682166887. The reversal of 682166856 is 658661286.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (682166851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667626 + ... + 668646.

It is an arithmetic number, because the mean of its divisors is an integer number (15774570).

Almost surely, 2682166856 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 682166856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009572480).

682166856 is an abundant number, since it is smaller than the sum of its proper divisors (1336978104).

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

682166856 is a wasteful number, since it uses less digits than its factorization.

682166856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1171 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 682166856 is about 26118.3241422569. The cubic root of 682166856 is about 880.2989927540.

The spelling of 682166856 in words is "six hundred eighty-two million, one hundred sixty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 97 123 164 168 194 246 287 291 328 388 492 574 582 679 776 861 984 1021 1148 1164 1358 1722 2037 2042 2296 2328 2716 3063 3444 3977 4074 4084 5432 6126 6888 7147 7954 8148 8168 11931 12252 14294 15908 16296 21441 23862 24504 27839 28588 31816 41861 42882 47724 55678 57176 83517 83722 85764 95448 99037 111356 125583 167034 167444 171528 198074 222712 251166 293027 297111 334068 334888 396148 502332 586054 594222 668136 693259 792296 879081 1004664 1172108 1188444 1386518 1758162 2079777 2344216 2376888 2773036 3516324 4060517 4159554 5546072 7032648 8121034 8319108 12181551 16242068 16638216 24363102 28423619 32484136 48726204 56847238 85270857 97452408 113694476 170541714 227388952 341083428 682166856