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444485480 = 23511112137
BaseRepresentation
bin11010011111100…
…100111101101000
31010222101012110012
4122133210331220
51402242013410
6112034511052
714005031015
oct3237447550
91128335405
10444485480
1120899a57a
12104a35488
137111897a
144306470c
152904e605
hex1a7e4f68

444485480 has 16 divisors (see below), whose sum is σ = 1000092420. Its totient is φ = 177794176.

The previous prime is 444485473. The next prime is 444485513. The reversal of 444485480 is 84584444.

It can be written as a sum of positive squares in 2 ways, for example, as 423454084 + 21031396 = 20578^2 + 4586^2 .

It is an unprimeable number.

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, 5556029 + ... + 5556108.

Almost surely, 2444485480 is an apocalyptic number.

444485480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444485480 is an abundant number, since it is smaller than the sum of its proper divisors (555606940).

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

444485480 is a wasteful number, since it uses less digits than its factorization.

444485480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11112148 (or 11112144 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 41.

The square root of 444485480 is about 21082.8242889799. The cubic root of 444485480 is about 763.1663146385.

The spelling of 444485480 in words is "four hundred forty-four million, four hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 11112137 22224274 44448548 55560685 88897096 111121370 222242740 444485480