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445448641 = 113141151211
BaseRepresentation
bin11010100011010…
…000000111000001
31011001012010122211
4122203100013001
51403013324031
6112111302121
714016152041
oct3243200701
91131163584
10445448641
11209498180
1210521a941
13713951a1
1443235721
152918ebb1
hex1a8d01c1

445448641 has 32 divisors (see below), whose sum is σ = 519708672. Its totient is φ = 378000000.

The previous prime is 445448611. The next prime is 445448651. The reversal of 445448641 is 146844544.

It is a 6-Lehmer number, since φ(445448641) divides (445448641-1)6.

It is a cyclic number.

It is not a de Polignac number, because 445448641 - 25 = 445448609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 445448594 and 445448603.

It is not an unprimeable number, because it can be changed into a prime (445448611) 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 31 ways as a sum of consecutive naturals, for example, 2111026 + ... + 2111236.

It is an arithmetic number, because the mean of its divisors is an integer number (16240896).

It is a Poulet number, since it divides 2445448640-1.

Almost surely, 2445448641 is an apocalyptic number.

445448641 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

445448641 is a deficient number, since it is larger than the sum of its proper divisors (74260031).

445448641 is a wasteful number, since it uses less digits than its factorization.

445448641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445.

The product of its digits is 245760, while the sum is 40.

The square root of 445448641 is about 21105.6542424062. The cubic root of 445448641 is about 763.7171550829.

The spelling of 445448641 in words is "four hundred forty-five million, four hundred forty-eight thousand, six hundred forty-one".

Divisors: 1 11 31 41 151 211 341 451 1271 1661 2321 4681 6191 6541 8651 13981 31861 51491 68101 71951 95161 191921 268181 350471 987691 1306301 2111131 2949991 10864601 14369311 40495331 445448641