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449650368 = 26322333941
BaseRepresentation
bin11010110011010…
…001111011000000
31011100002121100100
4122303101323000
51410102302433
6112341322400
714066652006
oct3263217300
91140077310
10449650368
112108a7a82
12106706400
137220680b
1443a0aa76
152971eb13
hex1acd1ec0

449650368 has 84 divisors (see below), whose sum is σ = 1344917808. Its totient is φ = 143362560.

The previous prime is 449650361. The next prime is 449650379. The reversal of 449650368 is 863056944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449650361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3723 + ... + 30218.

Almost surely, 2449650368 is an apocalyptic number.

449650368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449650368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672458904).

449650368 is an abundant number, since it is smaller than the sum of its proper divisors (895267440).

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

449650368 is a wasteful number, since it uses less digits than its factorization.

449650368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33982 (or 33969 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 449650368 is about 21204.9609289902. The cubic root of 449650368 is about 766.1109170463.

The spelling of 449650368 in words is "four hundred forty-nine million, six hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 33941 67882 101823 135764 203646 271528 305469 407292 543056 610938 780643 814584 1086112 1221876 1561286 1629168 2172224 2341929 2443752 3122572 3258336 4683858 4887504 6245144 6516672 7025787 9367716 9775008 12490288 14051574 18735432 19550016 24980576 28103148 37470864 49961152 56206296 74941728 112412592 149883456 224825184 449650368