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4440048400 = 245211100121
BaseRepresentation
bin1000010001010010…
…11100001100010000
3102110102201211101001
410020221130030100
533043123022100
62012325351344
7215012534344
oct41051341420
912412654331
104440048400
111979323097
12a3ab68554
13559b45898
14301981624
151aebe9d6a
hex108a5c310

4440048400 has 30 divisors (see below), whose sum is σ = 10667217242. Its totient is φ = 1776019200.

The previous prime is 4440048331. The next prime is 4440048407. The reversal of 4440048400 is 48400444.

It can be written as a sum of positive squares in 3 ways, for example, as 385415424 + 4054632976 = 19632^2 + 63676^2 .

It is not an unprimeable number, because it can be changed into a prime (4440048407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5549661 + ... + 5550460.

Almost surely, 24440048400 is an apocalyptic number.

4440048400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440048400 is an abundant number, since it is smaller than the sum of its proper divisors (6227168842).

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

4440048400 is a wasteful number, since it uses less digits than its factorization.

4440048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100139 (or 11100128 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4440048400 is about 66633.6881764772. The cubic root of 4440048400 is about 1643.5991251691.

Adding to 4440048400 its reverse (48400444), we get a palindrome (4488448844).

The spelling of 4440048400 in words is "four billion, four hundred forty million, forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 11100121 22200242 44400484 55500605 88800968 111001210 177601936 222002420 277503025 444004840 555006050 888009680 1110012100 2220024200 4440048400