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444480440 = 23511112011
BaseRepresentation
bin11010011111100…
…011101110111000
31010222100221112112
4122133203232320
51402241333230
6112034431452
714005010225
oct3237435670
91128327475
10444480440
11208996808
12104a32588
13711165a1
144306294c
152904cd95
hex1a7e3bb8

444480440 has 16 divisors (see below), whose sum is σ = 1000081080. Its totient is φ = 177792160.

The previous prime is 444480437. The next prime is 444480469. The reversal of 444480440 is 44084444.

It is a super-3 number, since 3×4444804403 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444480397 and 444480406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5555966 + ... + 5556045.

Almost surely, 2444480440 is an apocalyptic number.

444480440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444480440 is an abundant number, since it is smaller than the sum of its proper divisors (555600640).

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

444480440 is a wasteful number, since it uses less digits than its factorization.

444480440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112022 (or 11112018 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The square root of 444480440 is about 21082.7047600634. The cubic root of 444480440 is about 763.1634301253.

The spelling of 444480440 in words is "four hundred forty-four million, four hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11112011 22224022 44448044 55560055 88896088 111120110 222240220 444480440