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868699728 = 24361317337
BaseRepresentation
bin110011110001110…
…100111001010000
32020112121112000000
4303301310321100
53234341342403
6222111130000
730345553161
oct6361647120
92215545000
10868699728
114063a3a66
12202b13900
1310ac87910
148352d768
15513e77a3
hex33c74e50

868699728 has 280 divisors, whose sum is σ = 2886018408. Its totient is φ = 250822656.

The previous prime is 868699693. The next prime is 868699729. The reversal of 868699728 is 827996868.

868699728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43401744 + 825297984 = 6588^2 + 28728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868699729) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2577576 + ... + 2577912.

Almost surely, 2868699728 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 868699728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443009204).

868699728 is an abundant number, since it is smaller than the sum of its proper divisors (2017318680).

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

868699728 is a wasteful number, since it uses less digits than its factorization.

868699728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 372 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The square root of 868699728 is about 29473.7124909639. The cubic root of 868699728 is about 954.1644429951.

The spelling of 868699728 in words is "eight hundred sixty-eight million, six hundred ninety-nine thousand, seven hundred twenty-eight".