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443145164 = 2271112711329
BaseRepresentation
bin11010011010011…
…101101111001100
31010212212002212212
4122122131233030
51401421121124
6111550045552
713660446260
oct3232355714
91125762785
10443145164
11208164580
121044a98b8
1370a69897
1442bd60a0
1528d8740e
hex1a69dbcc

443145164 has 48 divisors (see below), whose sum is σ = 974561280. Its totient is φ = 171279360.

The previous prime is 443145161. The next prime is 443145167. The reversal of 443145164 is 461541344.

It is an interprime number because it is at equal distance from previous prime (443145161) and next prime (443145167).

It is a self number, because there is not a number n which added to its sum of digits gives 443145164.

It is not an unprimeable number, because it can be changed into a prime (443145161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33452 + ... + 44780.

It is an arithmetic number, because the mean of its divisors is an integer number (20303360).

Almost surely, 2443145164 is an apocalyptic number.

443145164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443145164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487280640).

443145164 is an abundant number, since it is smaller than the sum of its proper divisors (531416116).

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

443145164 is a wasteful number, since it uses less digits than its factorization.

443145164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11478 (or 11476 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 443145164 is about 21051.0133722821. The cubic root of 443145164 is about 762.3984501150.

The spelling of 443145164 in words is "four hundred forty-three million, one hundred forty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 308 508 889 1397 1778 2794 3556 5588 9779 11329 19558 22658 39116 45316 79303 124619 158606 249238 317212 498476 872333 1438783 1744666 2877566 3489332 5755132 10071481 15826613 20142962 31653226 40285924 63306452 110786291 221572582 443145164