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444560020 = 22525578693
BaseRepresentation
bin11010011111110…
…111001010010100
31010222111222200221
4122133313022110
51402301410040
6112040244124
714005461232
oct3237671224
91128458627
10444560020
11208a40583
12104a70644
1371143888
1443083952
152906674a
hex1a7f7294

444560020 has 24 divisors (see below), whose sum is σ = 934048584. Its totient is φ = 177734016.

The previous prime is 444559993. The next prime is 444560023. The reversal of 444560020 is 20065444.

It can be written as a sum of positive squares in 4 ways, for example, as 24964 + 444535056 = 158^2 + 21084^2 .

It is a super-2 number, since 2×4445600202 = 395267222764800800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444560023) 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 7 ways as a sum of consecutive naturals, for example, 46794 + ... + 55486.

It is an arithmetic number, because the mean of its divisors is an integer number (38918691).

Almost surely, 2444560020 is an apocalyptic number.

It is an amenable number.

444560020 is an abundant number, since it is smaller than the sum of its proper divisors (489488564).

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

444560020 is a wasteful number, since it uses less digits than its factorization.

444560020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11259 (or 11257 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 444560020 is about 21084.5920045895. The cubic root of 444560020 is about 763.2089731279.

The spelling of 444560020 in words is "four hundred forty-four million, five hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 20 2557 5114 8693 10228 12785 17386 25570 34772 43465 51140 86930 173860 22228001 44456002 88912004 111140005 222280010 444560020