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449641242 = 232375911443
BaseRepresentation
bin11010110011001…
…111101100011010
31011100002010211100
4122303033230122
51410102004432
6112341212230
714066613261
oct3263175432
91140063740
10449641242
112108a1136
12106701076
137220260b
1443a075d8
152971c07c
hex1accfb1a

449641242 has 48 divisors (see below), whose sum is σ = 1017600480. Its totient is φ = 143345376.

The previous prime is 449641223. The next prime is 449641243. The reversal of 449641242 is 242146944.

It is a happy number.

449641242 is a `hidden beast` number, since 4 + 4 + 9 + 641 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 449641197 and 449641206.

It is not an unprimeable number, because it can be changed into a prime (449641243) 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, 33573 + ... + 45015.

It is an arithmetic number, because the mean of its divisors is an integer number (21200010).

Almost surely, 2449641242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449641242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508800240).

449641242 is an abundant number, since it is smaller than the sum of its proper divisors (567959238).

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

449641242 is a wasteful number, since it uses less digits than its factorization.

449641242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11547 (or 11544 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 449641242 is about 21204.7457424040. The cubic root of 449641242 is about 766.1057340745.

The spelling of 449641242 in words is "four hundred forty-nine million, six hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 59 74 111 118 177 222 333 354 531 666 1062 2183 4366 6549 11443 13098 19647 22886 34329 39294 68658 102987 205974 423391 675137 846782 1270173 1350274 2025411 2540346 3810519 4050822 6076233 7621038 12152466 24980069 49960138 74940207 149880414 224820621 449641242