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448254016 = 2674323269
BaseRepresentation
bin11010101101111…
…101000001000000
31011020110122220121
4122231331001000
51404223112031
6112251350024
714052045010
oct3255750100
91136418817
10448254016
11210033971
12106152314
1371b38082
1443765c40
1529546011
hex1ab7d040

448254016 has 56 divisors (see below), whose sum is σ = 1040262080. Its totient is φ = 187633152.

The previous prime is 448254007. The next prime is 448254029. The reversal of 448254016 is 610452844.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7630 + ... + 30898.

Almost surely, 2448254016 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 448254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520131040).

448254016 is an abundant number, since it is smaller than the sum of its proper divisors (592008064).

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

448254016 is a wasteful number, since it uses less digits than its factorization.

448254016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23331 (or 23321 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 448254016 is about 21172.0102021513. The cubic root of 448254016 is about 765.3170633823.

It can be divided in two parts, 44825 and 4016, that added together give a square (48841 = 2212).

The spelling of 448254016 in words is "four hundred forty-eight million, two hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 2408 2752 4816 9632 19264 23269 46538 93076 162883 186152 325766 372304 651532 744608 1000567 1303064 1489216 2001134 2606128 4002268 5212256 7003969 8004536 10424512 14007938 16009072 28015876 32018144 56031752 64036288 112063504 224127008 448254016