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4493831120 = 24556172889
BaseRepresentation
bin1000010111101101…
…00110101111010000
3102121011221021101122
410023312212233100
533200410043440
62021530221412
7216234635312
oct41366465720
912534837348
104493831120
1119a6717919
12a54b84868
1356802698c
14308b817b2
151b47c07b5
hex10bda6bd0

4493831120 has 20 divisors (see below), whose sum is σ = 10448157540. Its totient is φ = 1797532416.

The previous prime is 4493831081. The next prime is 4493831123. The reversal of 4493831120 is 211383944.

It can be written as a sum of positive squares in 2 ways, for example, as 1246654864 + 3247176256 = 35308^2 + 56984^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4493831123) 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 3 ways as a sum of consecutive naturals, for example, 28086365 + ... + 28086524.

It is an arithmetic number, because the mean of its divisors is an integer number (522407877).

Almost surely, 24493831120 is an apocalyptic number.

4493831120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4493831120 is an abundant number, since it is smaller than the sum of its proper divisors (5954326420).

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

4493831120 is a wasteful number, since it uses less digits than its factorization.

4493831120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56172902 (or 56172896 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 4493831120 is about 67036.0434393319. The cubic root of 4493831120 is about 1650.2088648974.

The spelling of 4493831120 in words is "four billion, four hundred ninety-three million, eight hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 56172889 112345778 224691556 280864445 449383112 561728890 898766224 1123457780 2246915560 4493831120