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449050212 = 2232138910781
BaseRepresentation
bin11010110000111…
…111011001100100
31011021222010002100
4122300333121210
51404424101322
6112320412100
714061602202
oct3260773144
91137863070
10449050212
11210528086
12106477030
13720565b0
14438d2072
1529651dac
hex1ac3f664

449050212 has 72 divisors (see below), whose sum is σ = 1236264120. Its totient is φ = 136604160.

The previous prime is 449050211. The next prime is 449050253. The reversal of 449050212 is 212050944.

449050212 is a `hidden beast` number, since 449 + 0 + 5 + 0 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 446307876 = 1656^2 + 21126^2 .

It is not an unprimeable number, because it can be changed into a prime (449050211) 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, 36262 + ... + 47042.

It is an arithmetic number, because the mean of its divisors is an integer number (17170335).

Almost surely, 2449050212 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 449050212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618132060).

449050212 is an abundant number, since it is smaller than the sum of its proper divisors (787213908).

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

449050212 is a wasteful number, since it uses less digits than its factorization.

449050212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10893 (or 10888 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 449050212 is about 21190.8048926887. The cubic root of 449050212 is about 765.7699181951.

The spelling of 449050212 in words is "four hundred forty-nine million, fifty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 178 234 267 356 468 534 801 1068 1157 1602 2314 3204 3471 4628 6942 10413 10781 13884 20826 21562 32343 41652 43124 64686 97029 129372 140153 194058 280306 388116 420459 560612 840918 959509 1261377 1681836 1919018 2522754 2878527 3838036 5045508 5757054 8635581 11514108 12473617 17271162 24947234 34542324 37420851 49894468 74841702 112262553 149683404 224525106 449050212