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682428 = 223293753
BaseRepresentation
bin10100110100110111100
31021200010010
42212212330
5133314203
622343220
75541405
oct2464674
91250103
10682428
1142679a
1228ab10
131ab806
1413a9ac
15d7303
hexa69bc

682428 has 48 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 209664.

The previous prime is 682427. The next prime is 682439. The reversal of 682428 is 824286.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 682395 and 682404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682421) 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 15 ways as a sum of consecutive naturals, for example, 12850 + ... + 12902.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2682428 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 682428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

682428 is an abundant number, since it is smaller than the sum of its proper divisors (1041252).

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

682428 is a wasteful number, since it uses less digits than its factorization.

682428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 682428 is about 826.0920045612. The cubic root of 682428 is about 88.0411309103.

The spelling of 682428 in words is "six hundred eighty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 37 53 58 74 87 106 111 116 148 159 174 212 222 318 348 444 636 1073 1537 1961 2146 3074 3219 3922 4292 4611 5883 6148 6438 7844 9222 11766 12876 18444 23532 56869 113738 170607 227476 341214 682428