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682575912 = 233219226261
BaseRepresentation
bin101000101011110…
…100100000101000
31202120101110010100
4220223310200220
52344214412122
6151421545400
722625541144
oct5053644050
91676343110
10682575912
11320329427
12170715260
13ab54b595
1466920224
153edceaac
hex28af4828

682575912 has 72 divisors (see below), whose sum is σ = 1951135290. Its totient is φ = 215542080.

The previous prime is 682575863. The next prime is 682575917. The reversal of 682575912 is 219575286.

682575912 is a `hidden beast` number, since 6 + 8 + 2 + 57 + 591 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 681523236 + 1052676 = 26106^2 + 1026^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (682575917) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12862 + ... + 39122.

Almost surely, 2682575912 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 682575912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975567645).

682575912 is an abundant number, since it is smaller than the sum of its proper divisors (1268559378).

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

682575912 is a wasteful number, since it uses less digits than its factorization.

682575912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26311 (or 26285 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 682575912 is about 26126.1537927036. The cubic root of 682575912 is about 880.4749123892.

The spelling of 682575912 in words is "six hundred eighty-two million, five hundred seventy-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 6498 8664 12996 25992 26261 52522 78783 105044 157566 210088 236349 315132 472698 498959 630264 945396 997918 1496877 1890792 1995836 2993754 3991672 4490631 5987508 8981262 9480221 11975016 17962524 18960442 28440663 35925048 37920884 56881326 75841768 85321989 113762652 170643978 227525304 341287956 682575912