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442805441 = 13307110951
BaseRepresentation
bin11010011001001…
…010110011000001
31010212012211212112
4122121022303001
51401324233231
6111534505105
713654532651
oct3231126301
91125184775
10442805441
11207a52311
12104365195
137097b070
1442b48361
1528d1b92b
hex1a64acc1

442805441 has 8 divisors (see below), whose sum is σ = 478425024. Its totient is φ = 407408400.

The previous prime is 442805417. The next prime is 442805449. The reversal of 442805441 is 144508244.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442805441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442805398 and 442805407.

It is not an unprimeable number, because it can be changed into a prime (442805449) 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 7 ways as a sum of consecutive naturals, for example, 51485 + ... + 59466.

It is an arithmetic number, because the mean of its divisors is an integer number (59803128).

Almost surely, 2442805441 is an apocalyptic number.

It is an amenable number.

442805441 is a deficient number, since it is larger than the sum of its proper divisors (35619583).

442805441 is a wasteful number, since it uses less digits than its factorization.

442805441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111271.

The product of its (nonzero) digits is 20480, while the sum is 32.

The square root of 442805441 is about 21042.9427837458. The cubic root of 442805441 is about 762.2035775512.

The spelling of 442805441 in words is "four hundred forty-two million, eight hundred five thousand, four hundred forty-one".

Divisors: 1 13 307 3991 110951 1442363 34061957 442805441