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4489873920 = 29325724197
BaseRepresentation
bin1000010111001111…
…00000101000000000
3102120220111020010200
410023213200220000
533143401431140
62021305325200
7216156204300
oct41347405000
912526436120
104489873920
1119a4464804
12a53796800
1356726c73c
14308431600
151b428d030
hex10b9e0a00

4489873920 has 720 divisors, whose sum is σ = 18720629928. Its totient is φ = 990904320.

The previous prime is 4489873909. The next prime is 4489873987. The reversal of 4489873920 is 293789844.

4489873920 is a `hidden beast` number, since 4 + 489 + 8 + 73 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2308610304 + 2181263616 = 48048^2 + 46704^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 46287312 + ... + 46287408.

Almost surely, 24489873920 is an apocalyptic number.

4489873920 is a gapful number since it is divisible by the number (40) 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 4489873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360314964).

4489873920 is an abundant number, since it is smaller than the sum of its proper divisors (14230756008).

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

4489873920 is a wasteful number, since it uses less digits than its factorization.

4489873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 4489873920 is about 67006.5214736596. The cubic root of 4489873920 is about 1649.7243396238.

The spelling of 4489873920 in words is "four billion, four hundred eighty-nine million, eight hundred seventy-three thousand, nine hundred twenty".