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443146242 = 237111723319
BaseRepresentation
bin11010011010011…
…110000000000010
31010212212011100210
4122122132000002
51401421134432
6111550054550
713660452360
oct3232360002
91125764323
10443146242
11208165370
121044aa456
1370a6a216
1442bd6630
1528d878cc
hex1a69e002

443146242 has 96 divisors (see below), whose sum is σ = 1174164480. Its totient is φ = 108299520.

The previous prime is 443146237. The next prime is 443146243. The reversal of 443146242 is 242641344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443146243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131859 + ... + 135177.

It is an arithmetic number, because the mean of its divisors is an integer number (12230880).

Almost surely, 2443146242 is an apocalyptic number.

443146242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 443146242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587082240).

443146242 is an abundant number, since it is smaller than the sum of its proper divisors (731018238).

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

443146242 is a wasteful number, since it uses less digits than its factorization.

443146242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3359 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 443146242 is about 21051.0389767346. The cubic root of 443146242 is about 762.3990683209.

Adding to 443146242 its reverse (242641344), we get a palindrome (685787586).

It can be divided in two parts, 44 and 3146242, that added together give a triangular number (3146286 = T2508).

The spelling of 443146242 in words is "four hundred forty-three million, one hundred forty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 289 357 374 462 561 578 714 867 1122 1309 1734 2023 2618 3179 3319 3927 4046 6069 6358 6638 7854 9537 9957 12138 19074 19914 22253 23233 36509 44506 46466 56423 66759 69699 73018 109527 112846 133518 139398 169269 219054 255563 338538 394961 511126 620653 766689 789922 959191 1184883 1241306 1533378 1861959 1918382 2369766 2877573 3723918 4344571 5755146 6714337 8689142 10551101 13033713 13428674 20143011 21102202 26067426 31653303 40286022 63306606 73857707 147715414 221573121 443146242