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444128895 = 325721910601
BaseRepresentation
bin11010011110001…
…101111001111111
31010221201002022100
4122132031321333
51402144111040
6112023120143
714002014300
oct3236157177
91127632270
10444128895
11208776681
121048a3053
1371022582
1442db07a7
1528ecdb30
hex1a78de7f

444128895 has 72 divisors (see below), whose sum is σ = 942729840. Its totient is φ = 192326400.

The previous prime is 444128869. The next prime is 444128899. The reversal of 444128895 is 598821444.

444128895 is a `hidden beast` number, since 444 + 128 + 89 + 5 = 666.

It is not a de Polignac number, because 444128895 - 214 = 444112511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 444128895.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444128899) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36595 + ... + 47195.

It is an arithmetic number, because the mean of its divisors is an integer number (13093470).

Almost surely, 2444128895 is an apocalyptic number.

444128895 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

444128895 is an abundant number, since it is smaller than the sum of its proper divisors (498600945).

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

444128895 is a wasteful number, since it uses less digits than its factorization.

444128895 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10645 (or 10635 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 444128895 is about 21074.3658267574. The cubic root of 444128895 is about 762.9621786376.

The spelling of 444128895 in words is "four hundred forty-four million, one hundred twenty-eight thousand, eight hundred ninety-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 171 245 285 315 399 441 665 735 855 931 1197 1995 2205 2793 4655 5985 8379 10601 13965 31803 41895 53005 74207 95409 159015 201419 222621 371035 477045 519449 604257 667863 1007095 1113105 1409933 1558347 1812771 2597245 3021285 3339315 4229799 4675041 7049665 7791735 9063855 9869531 12689397 21148995 23375205 29608593 49347655 63446985 88825779 148042965 444128895