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500482080 = 253257241173
BaseRepresentation
bin11101110101001…
…100000000100000
31021212202010100100
4131311030000200
52011110411310
6121355022400
715255012300
oct3565140040
91255663310
10500482080
1123756665a
1211b73aa00
137c8c3657
144a67d600
152de10ec0
hex1dd4c020

500482080 has 432 divisors, whose sum is σ = 2046956184. Its totient is φ = 110960640.

The previous prime is 500482079. The next prime is 500482123. The reversal of 500482080 is 80284005.

500482080 is a `hidden beast` number, since 500 + 4 + 82 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 383063184 + 117418896 = 19572^2 + 10836^2 .

It is a super-2 number, since 2×5004820802 = 500964624802252800, which contains 22 as substring.

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, 2892874 + ... + 2893046.

Almost surely, 2500482080 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 500482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023478092).

500482080 is an abundant number, since it is smaller than the sum of its proper divisors (1546474104).

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

500482080 is a wasteful number, since it uses less digits than its factorization.

500482080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 500482080 is about 22371.4568144321. The cubic root of 500482080 is about 793.9555288135.

The spelling of 500482080 in words is "five hundred million, four hundred eighty-two thousand, eighty".