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482376384 = 263672211
BaseRepresentation
bin11100110000000…
…111101011000000
31020121200021000000
4130300013223000
51441442021014
6115511000000
714645063100
oct3460075300
91217607000
10482376384
1122831a576
12115669000
1378c24519
14480c9200
152c536509
hex1cc07ac0

482376384 has 294 divisors, whose sum is σ = 1677392124. Its totient is φ = 137168640.

The previous prime is 482376379. The next prime is 482376397. The reversal of 482376384 is 483673284.

482376384 is a `hidden beast` number, since 4 + 8 + 2 + 3 + 7 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (294).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2286039 + ... + 2286249.

Almost surely, 2482376384 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 482376384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838696062).

482376384 is an abundant number, since it is smaller than the sum of its proper divisors (1195015740).

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

482376384 is an equidigital number, since it uses as much as digits as its factorization.

482376384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 223 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 482376384 is about 21963.0686380569. The cubic root of 482376384 is about 784.2635168594.

The spelling of 482376384 in words is "four hundred eighty-two million, three hundred seventy-six thousand, three hundred eighty-four".