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483849072 = 2433743612
BaseRepresentation
bin11100110101101…
…111001101110000
31020201110002011000
4130311233031300
51442331132242
6120002322000
714663435460
oct3465571560
91221402130
10483849072
11229135a73
12116059300
137931b935
144838dba0
152c727a4c
hex1cd6f370

483849072 has 240 divisors, whose sum is σ = 1651203840. Its totient is φ = 132814080.

The previous prime is 483849059. The next prime is 483849073. The reversal of 483849072 is 270948384.

483849072 is a `hidden beast` number, since 483 + 84 + 90 + 7 + 2 = 666.

It is a super-2 number, since 2×4838490722 = 468219848950522368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483849073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7931922 + ... + 7931982.

It is an arithmetic number, because the mean of its divisors is an integer number (6880016).

Almost surely, 2483849072 is an apocalyptic number.

483849072 is a gapful number since it is divisible by the number (42) 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 483849072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825601920).

483849072 is an abundant number, since it is smaller than the sum of its proper divisors (1167354768).

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

483849072 is a wasteful number, since it uses less digits than its factorization.

483849072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 483849072 is about 21996.5695507277. The cubic root of 483849072 is about 785.0608210141.

The spelling of 483849072 in words is "four hundred eighty-three million, eight hundred forty-nine thousand, seventy-two".