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389683008 = 263311131983
BaseRepresentation
bin10111001110100…
…001011101000000
31000011020221121000
4113032201131000
51244224324013
6102400132000
712441152031
oct2716413500
91004227530
10389683008
1118aa69680
12aa607000
136296b680
1439a7aa88
1524326973
hex173a1740

389683008 has 448 divisors, whose sum is σ = 1433779200. Its totient is φ = 102021120.

The previous prime is 389682973. The next prime is 389683033. The reversal of 389683008 is 800386983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4694935 + ... + 4695017.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 2389683008 is an apocalyptic number.

389683008 is a gapful number since it is divisible by the number (38) 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 389683008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716889600).

389683008 is an abundant number, since it is smaller than the sum of its proper divisors (1044096192).

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

389683008 is a wasteful number, since it uses less digits than its factorization.

389683008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 389683008 is about 19740.3902696983. The cubic root of 389683008 is about 730.4163559682.

The spelling of 389683008 in words is "three hundred eighty-nine million, six hundred eighty-three thousand, eight".