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441816012 = 223311233809
BaseRepresentation
bin11010010101011…
…001001111001100
31010210100120122000
4122111121033030
51401101103022
6111501352300
713643242221
oct3225311714
91123316560
10441816012
11207436a00
12103b68690
13706c28c1
144296b948
1528bc36ac
hex1a5593cc

441816012 has 72 divisors (see below), whose sum is σ = 1259084400. Its totient is φ = 133879680.

The previous prime is 441816007. The next prime is 441816047. The reversal of 441816012 is 210618144.

It is a happy number.

441816012 is a `hidden beast` number, since 44 + 18 + 1 + 601 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3837 + ... + 29972.

Almost surely, 2441816012 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 441816012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629542200).

441816012 is an abundant number, since it is smaller than the sum of its proper divisors (817268388).

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

441816012 is a wasteful number, since it uses less digits than its factorization.

441816012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33844 (or 33825 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 441816012 is about 21019.4198778178. The cubic root of 441816012 is about 761.6354508948.

The spelling of 441816012 in words is "four hundred forty-one million, eight hundred sixteen thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 13068 33809 67618 101427 135236 202854 304281 371899 405708 608562 743798 912843 1115697 1217124 1487596 1825686 2231394 3347091 3651372 4090889 4462788 6694182 8181778 10041273 12272667 13388364 16363556 20082546 24545334 36818001 40165092 49090668 73636002 110454003 147272004 220908006 441816012