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449892612 = 2232134492141
BaseRepresentation
bin11010110100001…
…101000100000100
31011100112220122100
4122310031010010
51410133030422
6112350432100
714102011161
oct3264150404
91140486570
10449892612
11210a52a84
12106802630
137228cb60
1443a71068
152976b7ac
hex1ad0d104

449892612 has 72 divisors (see below), whose sum is σ = 1228008600. Its totient is φ = 138055680.

The previous prime is 449892593. The next prime is 449892623. The reversal of 449892612 is 216298944.

It can be written as a sum of positive squares in 4 ways, for example, as 118069956 + 331822656 = 10866^2 + 18216^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 209062 + ... + 211202.

It is an arithmetic number, because the mean of its divisors is an integer number (17055675).

Almost surely, 2449892612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449892612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614004300).

449892612 is an abundant number, since it is smaller than the sum of its proper divisors (778115988).

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

449892612 is a wasteful number, since it uses less digits than its factorization.

449892612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2608 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 449892612 is about 21210.6721251355. The cubic root of 449892612 is about 766.2484701830.

The spelling of 449892612 in words is "four hundred forty-nine million, eight hundred ninety-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 449 468 898 1347 1796 2141 2694 4041 4282 5388 5837 6423 8082 8564 11674 12846 16164 17511 19269 23348 25692 27833 35022 38538 52533 55666 70044 77076 83499 105066 111332 166998 210132 250497 333996 500994 961309 1001988 1922618 2883927 3845236 5767854 8651781 11535708 12497017 17303562 24994034 34607124 37491051 49988068 74982102 112473153 149964204 224946306 449892612