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681248 = 2561349
BaseRepresentation
bin10100110010100100000
31021121111102
42212110200
5133244443
622333532
75535101
oct2462440
91247442
10681248
11425917
1228a2a8
131ab109
1413a3a8
15d6cb8
hexa6520

681248 has 24 divisors (see below), whose sum is σ = 1367100. Its totient is φ = 334080.

The previous prime is 681229. The next prime is 681251. The reversal of 681248 is 842186.

It can be written as a sum of positive squares in 2 ways, for example, as 659344 + 21904 = 812^2 + 148^2 .

It is an Ulam number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 681248.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1778 + ... + 2126.

2681248 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 681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683550).

681248 is an abundant number, since it is smaller than the sum of its proper divisors (685852).

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

681248 is a wasteful number, since it uses less digits than its factorization.

681248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 681248 is about 825.3774893950. The cubic root of 681248 is about 87.9903570701.

It can be divided in two parts, 681 and 248, that added together give a palindrome (929).

The spelling of 681248 in words is "six hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 122 244 349 488 698 976 1396 1952 2792 5584 11168 21289 42578 85156 170312 340624 681248