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445536468 = 223213952001
BaseRepresentation
bin11010100011100…
…101100011010100
31011001100121010200
4122203211203110
51403024131333
6112113220500
714016666066
oct3243454324
91131317120
10445536468
11209548163
12105261730
13713c6160
1443259736
15291aac13
hex1a8e58d4

445536468 has 36 divisors (see below), whose sum is σ = 1212850548. Its totient is φ = 137088000.

The previous prime is 445536457. The next prime is 445536517. The reversal of 445536468 is 864635544.

It can be written as a sum of positive squares in 2 ways, for example, as 58706244 + 386830224 = 7662^2 + 19668^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475533 + ... + 476468.

It is an arithmetic number, because the mean of its divisors is an integer number (33690293).

Almost surely, 2445536468 is an apocalyptic number.

It is an amenable number.

445536468 is an abundant number, since it is smaller than the sum of its proper divisors (767314080).

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

445536468 is a wasteful number, since it uses less digits than its factorization.

445536468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952024 (or 952019 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 445536468 is about 21107.7347908296. The cubic root of 445536468 is about 763.7673446166.

The spelling of 445536468 in words is "four hundred forty-five million, five hundred thirty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 952001 1904002 2856003 3808004 5712006 8568009 11424012 12376013 17136018 24752026 34272036 37128039 49504052 74256078 111384117 148512156 222768234 445536468