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443114442 = 23337227977
BaseRepresentation
bin11010011010010…
…110001111001010
31010212210112202000
4122122112033022
51401414130232
6111545251430
713660260561
oct3232261712
91125715660
10443114442
11208143491
12104493b76
1370a588c4
1442bc8bd8
1528d7d27c
hex1a6963ca

443114442 has 64 divisors (see below), whose sum is σ = 1016807040. Its totient is φ = 142933248.

The previous prime is 443114437. The next prime is 443114459. The reversal of 443114442 is 244411344.

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 31 ways as a sum of consecutive naturals, for example, 453058 + ... + 454034.

It is an arithmetic number, because the mean of its divisors is an integer number (15887610).

Almost surely, 2443114442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443114442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508403520).

443114442 is an abundant number, since it is smaller than the sum of its proper divisors (573692598).

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

443114442 is a wasteful number, since it uses less digits than its factorization.

443114442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 443114442 is about 21050.2836560461. The cubic root of 443114442 is about 762.3808313989.

Adding to 443114442 its reverse (244411344), we get a palindrome (687525786).

It can be divided in two parts, 443114 and 442, that added together give a square (443556 = 6662).

The spelling of 443114442 in words is "four hundred forty-three million, one hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 227 333 454 666 681 977 999 1362 1954 1998 2043 2931 4086 5862 6129 8399 8793 12258 16798 17586 25197 26379 36149 50394 52758 72298 75591 108447 151182 216894 221779 226773 325341 443558 453546 650682 665337 976023 1330674 1952046 1996011 3992022 5988033 8205823 11976066 16411646 24617469 49234938 73852407 147704814 221557221 443114442