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448450080 = 25351371867
BaseRepresentation
bin11010101110101…
…100111000100000
31011020211121212020
4122232230320200
51404300400310
6112255501440
714053522431
oct3256547040
91136747766
10448450080
11210158201
12106227880
1371ba63a0
14437b7488
1529584170
hex1abace20

448450080 has 96 divisors (see below), whose sum is σ = 1521301824. Its totient is φ = 110386176.

The previous prime is 448450069. The next prime is 448450099. The reversal of 448450080 is 80054844.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4484500802 = 402214948504012800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29694 + ... + 42173.

It is an arithmetic number, because the mean of its divisors is an integer number (15846894).

Almost surely, 2448450080 is an apocalyptic number.

448450080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448450080 is an abundant number, since it is smaller than the sum of its proper divisors (1072851744).

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

448450080 is a wasteful number, since it uses less digits than its factorization.

448450080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71898 (or 71890 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 448450080 is about 21176.6399601070. The cubic root of 448450080 is about 765.4286290329.

The spelling of 448450080 in words is "four hundred forty-eight million, four hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 71867 143734 215601 287468 359335 431202 574936 718670 862404 934271 1078005 1149872 1437340 1724808 1868542 2156010 2299744 2802813 2874680 3449616 3737084 4312020 4671355 5605626 5749360 6899232 7474168 8624040 9342710 11211252 11498720 14014065 14948336 17248080 18685420 22422504 28028130 29896672 34496160 37370840 44845008 56056260 74741680 89690016 112112520 149483360 224225040 448450080