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489747984 = 243112374353
BaseRepresentation
bin11101001100001…
…111011000010000
31021010112202221020
4131030033120100
52000333413414
6120332555440
715064534455
oct3514173020
91233482836
10489747984
112314a4a00
12118022b80
137a60590b
144908782c
152cee07a9
hex1d30f610

489747984 has 240 divisors, whose sum is σ = 1489029696. Its totient is φ = 138378240.

The previous prime is 489747919. The next prime is 489747991.

489747984 is nontrivially palindromic in base 10.

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 47 ways as a sum of consecutive naturals, for example, 9240502 + ... + 9240554.

Almost surely, 2489747984 is an apocalyptic number.

489747984 is a gapful number since it is divisible by the number (44) 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 489747984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744514848).

489747984 is an abundant number, since it is smaller than the sum of its proper divisors (999281712).

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

489747984 is a wasteful number, since it uses less digits than its factorization.

489747984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The square root of 489747984 is about 22130.2504278646. The cubic root of 489747984 is about 788.2383348058.

The spelling of 489747984 in words is "four hundred eighty-nine million, seven hundred forty-seven thousand, nine hundred eighty-four".