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445205312 = 2637229821
BaseRepresentation
bin11010100010010…
…100101101000000
31011000201202212122
4122202110231000
51402433032222
6112102143412
714014116446
oct3242245500
91130652778
10445205312
11209341382
12105121b68
137130b4c6
14431b0b96
1529142a42
hex1a894b40

445205312 has 56 divisors (see below), whose sum is σ = 912403560. Its totient is φ = 215377920.

The previous prime is 445205311. The next prime is 445205357. The reversal of 445205312 is 213502544.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 212459776 + 232745536 = 14576^2 + 15256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445205311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541862 + ... + 542682.

Almost surely, 2445205312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456201780).

445205312 is an abundant number, since it is smaller than the sum of its proper divisors (467198248).

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

445205312 is a wasteful number, since it uses less digits than its factorization.

445205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 445205312 is about 21099.8889096602. Note that the first 3 decimals coincide. The cubic root of 445205312 is about 763.5780680572.

Adding to 445205312 its reverse (213502544), we get a palindrome (658707856).

The spelling of 445205312 in words is "four hundred forty-five million, two hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 148 229 296 458 592 821 916 1184 1642 1832 2368 3284 3664 6568 7328 8473 13136 14656 16946 26272 30377 33892 52544 60754 67784 121508 135568 188009 243016 271136 376018 486032 542272 752036 972064 1504072 1944128 3008144 6016288 6956333 12032576 13912666 27825332 55650664 111301328 222602656 445205312