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449378082 = 2321910312757
BaseRepresentation
bin11010110010001…
…111011100100010
31011022120202211200
4122302033130202
51410020044312
6112331422030
714064436116
oct3262173442
91138522750
10449378082
1121073144a
121065b4916
137213c8ba
1443979746
15296b90dc
hex1ac8f722

449378082 has 48 divisors (see below), whose sum is σ = 1034928960. Its totient is φ = 140520096.

The previous prime is 449378057. The next prime is 449378087. The reversal of 449378082 is 280873944.

449378082 is a `hidden beast` number, since 4 + 493 + 7 + 80 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (449378087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28848 + ... + 41604.

It is an arithmetic number, because the mean of its divisors is an integer number (21561020).

Almost surely, 2449378082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449378082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517464480).

449378082 is an abundant number, since it is smaller than the sum of its proper divisors (585550878).

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

449378082 is a wasteful number, since it uses less digits than its factorization.

449378082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12887 (or 12884 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 449378082 is about 21198.5396195115. The cubic root of 449378082 is about 765.9562462084.

The spelling of 449378082 in words is "four hundred forty-nine million, three hundred seventy-eight thousand, eighty-two".

Divisors: 1 2 3 6 9 18 19 38 57 103 114 171 206 309 342 618 927 1854 1957 3914 5871 11742 12757 17613 25514 35226 38271 76542 114813 229626 242383 484766 727149 1313971 1454298 2181447 2627942 3941913 4362894 7883826 11825739 23651478 24965449 49930898 74896347 149792694 224689041 449378082