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441382842 = 232293722853
BaseRepresentation
bin11010010011101…
…111011110111010
31010202112120102200
4122103233132322
51400443222332
6111444211030
713636456305
oct3223573672
91122476380
10441382842
1120717050a
12103999a76
13705a06a4
1442897b3c
1528b3a17c
hex1a4ef7ba

441382842 has 48 divisors (see below), whose sum is σ = 1016088840. Its totient is φ = 138208896.

The previous prime is 441382841. The next prime is 441382847. The reversal of 441382842 is 248283144.

It can be written as a sum of positive squares in 4 ways, for example, as 394062201 + 47320641 = 19851^2 + 6879^2 .

It is a junction number, because it is equal to n+sod(n) for n = 441382797 and 441382806.

It is not an unprimeable number, because it can be changed into a prime (441382841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7888 + ... + 30740.

Almost surely, 2441382842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441382842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508044420).

441382842 is an abundant number, since it is smaller than the sum of its proper divisors (574705998).

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

441382842 is a wasteful number, since it uses less digits than its factorization.

441382842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22927 (or 22924 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 441382842 is about 21009.1133082765. The cubic root of 441382842 is about 761.3864592342.

The spelling of 441382842 in words is "four hundred forty-one million, three hundred eighty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 522 666 1073 2146 3219 6438 9657 19314 22853 45706 68559 137118 205677 411354 662737 845561 1325474 1691122 1988211 2536683 3976422 5073366 5964633 7610049 11929266 15220098 24521269 49042538 73563807 147127614 220691421 441382842