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448720992 = 2533519353
BaseRepresentation
bin11010101111101…
…111000001100000
31011021100101111000
4122233233001200
51404333032432
6112305352000
714056031316
oct3257570140
91137311430
10448720992
112103227a5
12106338600
1371c6c7a5
14438480b6
15295d957c
hex1abef060

448720992 has 48 divisors (see below), whose sum is σ = 1308772080. Its totient is φ = 149573376.

The previous prime is 448720969. The next prime is 448721041. The reversal of 448720992 is 299027844.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4487209922 = 402701057322928128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258813 + ... + 260540.

It is an arithmetic number, because the mean of its divisors is an integer number (27266085).

Almost surely, 2448720992 is an apocalyptic number.

It is an amenable number.

448720992 is an abundant number, since it is smaller than the sum of its proper divisors (860051088).

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

448720992 is a wasteful number, since it uses less digits than its factorization.

448720992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519372 (or 519358 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 448720992 is about 21183.0354765317. The cubic root of 448720992 is about 765.5827316984.

The spelling of 448720992 in words is "four hundred forty-eight million, seven hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 519353 1038706 1558059 2077412 3116118 4154824 4674177 6232236 8309648 9348354 12464472 14022531 16619296 18696708 24928944 28045062 37393416 49857888 56090124 74786832 112180248 149573664 224360496 448720992