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489330720 = 25345172221
BaseRepresentation
bin11101001010101…
…001100000100000
31021002202120120000
4131022221200200
52000232040340
6120320020000
715061146114
oct3512514040
91232676500
10489330720
1123123a45a
12117a61600
137a4baa08
1448db9744
152ce5bd30
hex1d2a9820

489330720 has 240 divisors, whose sum is σ = 1829337048. Its totient is φ = 122757120.

The previous prime is 489330701. The next prime is 489330739. The reversal of 489330720 is 27033984.

It is an interprime number because it is at equal distance from previous prime (489330701) and next prime (489330739).

It can be written as a sum of positive squares in 4 ways, for example, as 465006096 + 24324624 = 21564^2 + 4932^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 219210 + ... + 221430.

Almost surely, 2489330720 is an apocalyptic number.

489330720 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 489330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914668524).

489330720 is an abundant number, since it is smaller than the sum of its proper divisors (1340006328).

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

489330720 is a wasteful number, since it uses less digits than its factorization.

489330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 489330720 is about 22120.8209612573. The cubic root of 489330720 is about 788.0144122009.

The spelling of 489330720 in words is "four hundred eighty-nine million, three hundred thirty thousand, seven hundred twenty".