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449085696 = 2832772111
BaseRepresentation
bin11010110001001…
…000000100000000
31011022000220202120
4122301020010000
51404431220241
6112321244240
714062110513
oct3261100400
91138026676
10449085696
11210551804
12106493680
13720697a7
1443900d7a
152965c666
hex1ac48100

449085696 has 72 divisors (see below), whose sum is σ = 1200105984. Its totient is φ = 149084160.

The previous prime is 449085673. The next prime is 449085697. The reversal of 449085696 is 696580944.

It is not an unprimeable number, because it can be changed into a prime (449085697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211681 + ... + 213791.

Almost surely, 2449085696 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 449085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600052992).

449085696 is an abundant number, since it is smaller than the sum of its proper divisors (751020288).

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

449085696 is a wasteful number, since it uses less digits than its factorization.

449085696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 449085696 is about 21191.6421260836. The cubic root of 449085696 is about 765.7900880732.

The spelling of 449085696 in words is "four hundred forty-nine million, eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 277 384 554 768 831 1108 1662 2111 2216 3324 4222 4432 6333 6648 8444 8864 12666 13296 16888 17728 25332 26592 33776 35456 50664 53184 67552 70912 101328 106368 135104 202656 212736 270208 405312 540416 584747 810624 1169494 1621248 1754241 2338988 3508482 4677976 7016964 9355952 14033928 18711904 28067856 37423808 56135712 74847616 112271424 149695232 224542848 449085696