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4442000427 = 324194432659
BaseRepresentation
bin1000010001100001…
…11000110000101011
3102110120102000001100
410020300320300223
533044123003202
62012435252443
7215035244364
oct41060706053
912416360040
104442000427
11197a436737
12a3b74a123
1355a37a227
14301d2cb6b
151aee8341c
hex108c38c2b

4442000427 has 24 divisors (see below), whose sum is σ = 6448478400. Its totient is φ = 2946488688.

The previous prime is 4442000401. The next prime is 4442000449. The reversal of 4442000427 is 7240002444.

It is not a de Polignac number, because 4442000427 - 210 = 4441999403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4442000427.

It is not an unprimeable number, because it can be changed into a prime (4442000467) 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 23 ways as a sum of consecutive naturals, for example, 1669224 + ... + 1671882.

It is an arithmetic number, because the mean of its divisors is an integer number (268686600).

Almost surely, 24442000427 is an apocalyptic number.

4442000427 is a deficient number, since it is larger than the sum of its proper divisors (2006477973).

4442000427 is a wasteful number, since it uses less digits than its factorization.

4442000427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 4442000427 is about 66648.3340151875. The cubic root of 4442000427 is about 1643.8399543614.

The spelling of 4442000427 in words is "four billion, four hundred forty-two million, four hundred twenty-seven", and thus it is an aban number.

Divisors: 1 3 9 419 443 1257 1329 2659 3771 3987 7977 23931 185617 556851 1114121 1177937 1670553 3342363 3533811 10027089 10601433 493555603 1480666809 4442000427