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681608928 = 2537111341173
BaseRepresentation
bin101000101000001…
…000011011100000
31202111120022200010
4220220020123200
52343442441203
6151345124520
722614403020
oct5050103340
91674508603
10681608928
1131a828970
12170329740
13ab2a03c0
146674ba80
153ec8d303
hex28a086e0

681608928 has 384 divisors, whose sum is σ = 2475131904. Its totient is φ = 158515200.

The previous prime is 681608927. The next prime is 681608929. The reversal of 681608928 is 829806186.

It is an interprime number because it is at equal distance from previous prime (681608927) and next prime (681608929).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681608923) 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, 3939850 + ... + 3940022.

It is an arithmetic number, because the mean of its divisors is an integer number (6445656).

Almost surely, 2681608928 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 681608928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237565952).

681608928 is an abundant number, since it is smaller than the sum of its proper divisors (1793522976).

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

681608928 is a wasteful number, since it uses less digits than its factorization.

681608928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 681608928 is about 26107.6411803135. The cubic root of 681608928 is about 880.0589354468.

The spelling of 681608928 in words is "six hundred eighty-one million, six hundred eight thousand, nine hundred twenty-eight".