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445040432 = 24232295281
BaseRepresentation
bin11010100001101…
…100011100110000
31011000102101200222
4122201230130300
51402412243212
6112054432212
714012531654
oct3241543460
91130371628
10445040432
11209239511
12105062668
1371281445
144316aa64
152910dc72
hex1a86c730

445040432 has 40 divisors (see below), whose sum is σ = 903855840. Its totient is φ = 211875840.

The previous prime is 445040413. The next prime is 445040459. The reversal of 445040432 is 234040544.

It is a super-2 number, since 2×4450404322 = 396121972229493248, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 81632 + ... + 86912.

It is an arithmetic number, because the mean of its divisors is an integer number (22596396).

Almost surely, 2445040432 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 445040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451927920).

445040432 is an abundant number, since it is smaller than the sum of its proper divisors (458815408).

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

445040432 is a wasteful number, since it uses less digits than its factorization.

445040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 445040432 is about 21095.9814182702. The cubic root of 445040432 is about 763.4837937276.

Adding to 445040432 its reverse (234040544), we get a palindrome (679080976).

The spelling of 445040432 in words is "four hundred forty-five million, forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 229 368 458 916 1832 3664 5267 5281 10534 10562 21068 21124 42136 42248 84272 84496 121463 242926 485852 971704 1209349 1943408 2418698 4837396 9674792 19349584 27815027 55630054 111260108 222520216 445040432