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449085880 = 23529467829
BaseRepresentation
bin11010110001001…
…000000110111000
31011022000221000101
4122301020012320
51404431222010
6112321245144
714062111165
oct3261100670
91138027011
10449085880
11210551961
121064937b4
13720698b9
144390106c
152965c73a
hex1ac481b8

449085880 has 64 divisors (see below), whose sum is σ = 1048788000. Its totient is φ = 172859904.

The previous prime is 449085877. The next prime is 449085883. The reversal of 449085880 is 88580944.

It is an interprime number because it is at equal distance from previous prime (449085877) and next prime (449085883).

It is a self number, because there is not a number n which added to its sum of digits gives 449085880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449085883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541306 + ... + 542134.

Almost surely, 2449085880 is an apocalyptic number.

449085880 is a gapful number since it is divisible by the number (40) 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 449085880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524394000).

449085880 is an abundant number, since it is smaller than the sum of its proper divisors (599702120).

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

449085880 is a wasteful number, since it uses less digits than its factorization.

449085880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 449085880 is about 21191.6464674173. The cubic root of 449085880 is about 765.7901926600.

The spelling of 449085880 in words is "four hundred forty-nine million, eighty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 467 580 829 934 1160 1658 1868 2335 3316 3736 4145 4670 6632 8290 9340 13543 16580 18680 24041 27086 33160 48082 54172 67715 96164 108344 120205 135430 192328 240410 270860 387143 480820 541720 774286 961640 1548572 1935715 3097144 3871430 7742860 11227147 15485720 22454294 44908588 56135735 89817176 112271470 224542940 449085880