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682838856 = 23337538521
BaseRepresentation
bin101000101100110…
…100101101001000
31202120212210211000
4220230310231020
52344301320411
6151431335000
722631014560
oct5054645510
91676783730
10682838856
11320498a37
12170821460
13ab61117b
146698bda0
153ee32956
hex28b34b48

682838856 has 128 divisors (see below), whose sum is σ = 2208902400. Its totient is φ = 191393280.

The previous prime is 682838851. The next prime is 682838867. The reversal of 682838856 is 658838286.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (682838851) 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 31 ways as a sum of consecutive naturals, for example, 75876 + ... + 84396.

It is an arithmetic number, because the mean of its divisors is an integer number (17257050).

Almost surely, 2682838856 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 682838856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104451200).

682838856 is an abundant number, since it is smaller than the sum of its proper divisors (1526063544).

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

682838856 is a wasteful number, since it uses less digits than its factorization.

682838856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596 (or 8586 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 682838856 is about 26131.1855069761. The cubic root of 682838856 is about 880.5879576292.

The spelling of 682838856 in words is "six hundred eighty-two million, eight hundred thirty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 84 106 108 126 159 168 189 212 216 252 318 371 378 424 477 504 636 742 756 954 1113 1272 1431 1484 1512 1908 2226 2862 2968 3339 3816 4452 5724 6678 8521 8904 10017 11448 13356 17042 20034 25563 26712 34084 40068 51126 59647 68168 76689 80136 102252 119294 153378 178941 204504 230067 238588 306756 357882 451613 460134 477176 536823 613512 715764 903226 920268 1073646 1354839 1431528 1610469 1806452 1840536 2147292 2709678 3161291 3220938 3612904 4064517 4294584 5419356 6322582 6441876 8129034 9483873 10838712 12193551 12645164 12883752 16258068 18967746 24387102 25290328 28451619 32516136 37935492 48774204 56903238 75870984 85354857 97548408 113806476 170709714 227612952 341419428 682838856