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483888384 = 2833773137
BaseRepresentation
bin11100110101111…
…000110100000000
31020201112002002000
4130311320310000
51442333412014
6120003224000
714663661210
oct3465706400
91221462060
10483888384
11229162561
12116078000
13793337b5
14483a0240
152c734509
hex1cd78d00

483888384 has 288 divisors, whose sum is σ = 1669866240. Its totient is φ = 135364608.

The previous prime is 483888367. The next prime is 483888389.

483888384 is a `hidden beast` number, since 483 + 8 + 8 + 83 + 84 = 666.

483888384 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 483888384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483888389) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3531964 + ... + 3532100.

Almost surely, 2483888384 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 483888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834933120).

483888384 is an abundant number, since it is smaller than the sum of its proper divisors (1185977856).

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

483888384 is a wasteful number, since it uses less digits than its factorization.

483888384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 483888384 is about 21997.4631264607. The cubic root of 483888384 is about 785.0820821035.

The spelling of 483888384 in words is "four hundred eighty-three million, eight hundred eighty-eight thousand, three hundred eighty-four".