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448668165 = 3511172972
BaseRepresentation
bin11010101111100…
…010001000000101
31011021020201000110
4122233202020011
51404324340130
6112304303233
714055421311
oct3257421005
91137221013
10448668165
11210297040
12106311b19
1371c5172a
1443832b41
15295c8ab0
hex1abe2205

448668165 has 72 divisors (see below), whose sum is σ = 840570912. Its totient is φ = 202629120.

The previous prime is 448668151. The next prime is 448668191. The reversal of 448668165 is 561866844.

It is not a de Polignac number, because 448668165 - 211 = 448666117 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4625397 + ... + 4625493.

It is an arithmetic number, because the mean of its divisors is an integer number (11674596).

Almost surely, 2448668165 is an apocalyptic number.

It is an amenable number.

448668165 is a deficient number, since it is larger than the sum of its proper divisors (391902747).

448668165 is a wasteful number, since it uses less digits than its factorization.

448668165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 133 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 448668165 is about 21181.7885222188. The cubic root of 448668165 is about 765.5526870256.

The spelling of 448668165 in words is "four hundred forty-eight million, six hundred sixty-eight thousand, one hundred sixty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 97 165 187 255 289 291 485 561 867 935 1067 1445 1455 1649 2805 3179 3201 4335 4947 5335 8245 9409 9537 15895 16005 18139 24735 28033 28227 47045 47685 54417 84099 90695 103499 140165 141135 159953 272085 308363 310497 420495 479859 517495 799765 925089 1541815 1552485 1759483 2399295 2719201 4625445 5278449 8157603 8797415 13596005 26392245 29911211 40788015 89733633 149556055 448668165