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682929 = 32132449
BaseRepresentation
bin10100110101110110001
31021200210200
42212232301
5133323204
622345413
75543022
oct2465661
91250720
10682929
11427105
1228b269
131abb00
1413ac49
15d7539
hexa6bb1

682929 has 18 divisors (see below), whose sum is σ = 1070550. Its totient is φ = 419328.

The previous prime is 682901. The next prime is 682933. The reversal of 682929 is 929286.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 680625 = 48^2 + 825^2 .

It is not a de Polignac number, because 682929 - 28 = 682673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 682893 and 682902.

It is not an unprimeable number, because it can be changed into a prime (682229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1297 + ... + 1745.

It is an arithmetic number, because the mean of its divisors is an integer number (59475).

2682929 is an apocalyptic number.

It is an amenable number.

682929 is a deficient number, since it is larger than the sum of its proper divisors (387621).

682929 is a wasteful number, since it uses less digits than its factorization.

682929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 465 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 682929 is about 826.3951839163. The cubic root of 682929 is about 88.0626705780.

The spelling of 682929 in words is "six hundred eighty-two thousand, nine hundred twenty-nine".

Divisors: 1 3 9 13 39 117 169 449 507 1347 1521 4041 5837 17511 52533 75881 227643 682929