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444660560 = 2455558257
BaseRepresentation
bin11010100000001…
…111101101010000
31010222201002121122
4122200033231100
51402313114220
6112042341412
714006360321
oct3240175520
91128632548
10444660560
11208aaa073
12104aba868
137117a576
14430ac448
1529086425
hex1a80fb50

444660560 has 20 divisors (see below), whose sum is σ = 1033835988. Its totient is φ = 177864192.

The previous prime is 444660529. The next prime is 444660563. The reversal of 444660560 is 65066444.

It can be written as a sum of positive squares in 2 ways, for example, as 128958736 + 315701824 = 11356^2 + 17768^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 444660560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444660563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2779049 + ... + 2779208.

Almost surely, 2444660560 is an apocalyptic number.

444660560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444660560 is an abundant number, since it is smaller than the sum of its proper divisors (589175428).

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

444660560 is a wasteful number, since it uses less digits than its factorization.

444660560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558270 (or 5558264 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 444660560 is about 21086.9760752935. The cubic root of 444660560 is about 763.2665036022.

The spelling of 444660560 in words is "four hundred forty-four million, six hundred sixty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5558257 11116514 22233028 27791285 44466056 55582570 88932112 111165140 222330280 444660560