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444421242 = 2351753791
BaseRepresentation
bin11010011111010…
…101010001111010
31010222020221100000
4122133111101322
51402232434432
6112033253430
714004342516
oct3237252172
91128227300
10444421242
11208956291
12104a04276
13710c5665
1443049146
152903a57c
hex1a7d547a

444421242 has 48 divisors (see below), whose sum is σ = 1057335552. Its totient is φ = 139423680.

The previous prime is 444421223. The next prime is 444421247. The reversal of 444421242 is 242124444.

444421242 is a `hidden beast` number, since 4 + 444 + 212 + 4 + 2 = 666.

It is a super-3 number, since 3×4444212423 (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (444421247) 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 23 ways as a sum of consecutive naturals, for example, 18634 + ... + 35157.

It is an arithmetic number, because the mean of its divisors is an integer number (22027824).

Almost surely, 2444421242 is an apocalyptic number.

444421242 is an abundant number, since it is smaller than the sum of its proper divisors (612914310).

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

444421242 is a wasteful number, since it uses less digits than its factorization.

444421242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53825 (or 53813 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 444421242 is about 21081.3007663190. The cubic root of 444421242 is about 763.1295480535.

Adding to 444421242 its reverse (242124444), we get a palindrome (686545686).

The spelling of 444421242 in words is "four hundred forty-four million, four hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 8262 53791 107582 161373 322746 484119 914447 968238 1452357 1828894 2743341 2904714 4357071 5486682 8230023 8714142 13071213 16460046 24690069 26142426 49380138 74070207 148140414 222210621 444421242