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444400000 = 275511101
BaseRepresentation
bin11010011111010…
…000000110000000
31010222012212012021
4122133100012000
51402231300000
6112033011224
714004223552
oct3237200600
91128185167
10444400000
11208941330
121049b3b14
13710b8aa5
14430414d2
152903411a
hex1a7d0180

444400000 has 192 divisors, whose sum is σ = 1219140720. Its totient is φ = 160000000.

The previous prime is 444399979. The next prime is 444400003. The reversal of 444400000 is 4444.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444400003) 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 23 ways as a sum of consecutive naturals, for example, 4399950 + ... + 4400050.

Almost surely, 2444400000 is an apocalyptic number.

444400000 is a gapful number since it is divisible by the number (40) 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 444400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609570360).

444400000 is an abundant number, since it is smaller than the sum of its proper divisors (774740720).

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

444400000 is an equidigital number, since it uses as much as digits as its factorization.

444400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 444400000 is about 21080.7969488822. The cubic root of 444400000 is about 763.1173894266.

Adding to 444400000 its reverse (4444), we get a palindrome (444404444).

444400000 divided by its reverse (4444) gives a 5-th power (100000 = 105).

It can be divided in two parts, 44 and 4400000, that added together give a palindrome (4400044).

The spelling of 444400000 in words is "four hundred forty-four million, four hundred thousand".