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680362848 = 253311174211
BaseRepresentation
bin101000100011011…
…000001101100000
31202102020000101000
4220203120031200
52343133102343
6151302312000
722600663104
oct5043301540
91672200330
10680362848
1131a057750
1216ba28600
13aac55189
1466505904
153eae3ed3
hex288d8360

680362848 has 192 divisors, whose sum is σ = 2292675840. Its totient is φ = 193996800.

The previous prime is 680362841. The next prime is 680362867. The reversal of 680362848 is 848263086.

It is a happy number.

It is a super-2 number, since 2×6803628482 = 925787209877342208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680362841) 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 31 ways as a sum of consecutive naturals, for example, 159463 + ... + 163673.

It is an arithmetic number, because the mean of its divisors is an integer number (11941020).

Almost surely, 2680362848 is an apocalyptic number.

680362848 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680362848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146337920).

680362848 is an abundant number, since it is smaller than the sum of its proper divisors (1612312992).

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

680362848 is a wasteful number, since it uses less digits than its factorization.

680362848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 680362848 is about 26083.7659857621. The cubic root of 680362848 is about 879.5223165073.

The spelling of 680362848 in words is "six hundred eighty million, three hundred sixty-two thousand, eight hundred forty-eight".