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681192288 = 25337235983
BaseRepresentation
bin101000100110100…
…010101101100000
31202110210011011000
4220212202231200
52343341123123
6151332152000
722611016230
oct5046425540
91673704130
10681192288
1131a573937
12170168600
13ab18587a
146667dcc0
153ec09b43
hex289a2b60

681192288 has 384 divisors, whose sum is σ = 2438553600. Its totient is φ = 180804096.

The previous prime is 681192221. The next prime is 681192289. The reversal of 681192288 is 882291186.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681192289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8207095 + ... + 8207177.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2681192288 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 681192288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219276800).

681192288 is an abundant number, since it is smaller than the sum of its proper divisors (1757361312).

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

681192288 is a wasteful number, since it uses less digits than its factorization.

681192288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 681192288 is about 26099.6606874496. The cubic root of 681192288 is about 879.8795840744.

It can be divided in two parts, 68119 and 2288, that added together give a palindrome (70407).

The spelling of 681192288 in words is "six hundred eighty-one million, one hundred ninety-two thousand, two hundred eighty-eight".