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445261284 = 223213951413
BaseRepresentation
bin11010100010100…
…010010111100100
31011000211121122200
4122202202113210
51402441330114
6112103254500
714014441566
oct3242422744
91130747580
10445261284
1120937a436
1210514a430
137132ab20
14431c7336
1529154409
hex1a8a25e4

445261284 has 36 divisors (see below), whose sum is σ = 1212101436. Its totient is φ = 137003328.

The previous prime is 445261283. The next prime is 445261291. The reversal of 445261284 is 482162544.

445261284 is a `hidden beast` number, since 4 + 4 + 526 + 128 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50126400 + 395134884 = 7080^2 + 19878^2 .

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

It is a super-2 number, since 2×4452612842 = 396515222058657312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (445261283) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 475239 + ... + 476174.

Almost surely, 2445261284 is an apocalyptic number.

It is an amenable number.

445261284 is an abundant number, since it is smaller than the sum of its proper divisors (766840152).

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

445261284 is a wasteful number, since it uses less digits than its factorization.

445261284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951436 (or 951431 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 445261284 is about 21101.2152256689. The cubic root of 445261284 is about 763.6100661785.

The spelling of 445261284 in words is "four hundred forty-five million, two hundred sixty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 951413 1902826 2854239 3805652 5708478 8562717 11416956 12368369 17125434 24736738 34250868 37105107 49473476 74210214 111315321 148420428 222630642 445261284