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449448064 = 2713279263
BaseRepresentation
bin11010110010100…
…000100010000000
31011022201022211121
4122302200202000
51410024314224
6112333122024
714065150132
oct3262404200
91138638747
10449448064
11210779a8a
12106629314
1372165700
1443997052
15296cebe4
hex1aca0880

449448064 has 96 divisors (see below), whose sum is σ = 985564800. Its totient is φ = 204033024.

The previous prime is 449448053. The next prime is 449448073. The reversal of 449448064 is 460844944.

It is a self number, because there is not a number n which added to its sum of digits gives 449448064.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1708797 + ... + 1709059.

It is an arithmetic number, because the mean of its divisors is an integer number (10266300).

Almost surely, 2449448064 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 449448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492782400).

449448064 is an abundant number, since it is smaller than the sum of its proper divisors (536116736).

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

449448064 is a wasteful number, since it uses less digits than its factorization.

449448064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The square root of 449448064 is about 21200.1901878261. The cubic root of 449448064 is about 765.9960051329.

The spelling of 449448064 in words is "four hundred forty-nine million, four hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 169 208 263 316 338 416 526 632 676 832 1027 1052 1264 1352 1664 2054 2104 2528 2704 3419 4108 4208 5056 5408 6838 8216 8416 10112 10816 13351 13676 16432 16832 20777 21632 26702 27352 32864 33664 41554 44447 53404 54704 65728 83108 88894 106808 109408 131456 166216 177788 213616 218816 270101 332432 355576 427232 437632 540202 664864 711152 854464 1080404 1329728 1422304 1708928 2160808 2659456 2844608 3511313 4321616 5689216 7022626 8643232 14045252 17286464 28090504 34572928 56181008 112362016 224724032 449448064