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448215930 = 2355672753
BaseRepresentation
bin11010101101110…
…011101101111010
31011020101201200000
4122231303231322
51404220402210
6112250453430
714051525661
oct3255635572
91136351600
10448215930
11210008298
12106134276
1371b23936
1443755dd8
1529539ac0
hex1ab73b7a

448215930 has 96 divisors (see below), whose sum is σ = 1227006144. Its totient is φ = 117697536.

The previous prime is 448215917. The next prime is 448215953. The reversal of 448215930 is 39512844.

448215930 is a `hidden beast` number, since 4 + 48 + 21 + 593 + 0 = 666.

448215930 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161434 + ... + 164186.

It is an arithmetic number, because the mean of its divisors is an integer number (12781314).

Almost surely, 2448215930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448215930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613503072).

448215930 is an abundant number, since it is smaller than the sum of its proper divisors (778790214).

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

448215930 is a wasteful number, since it uses less digits than its factorization.

448215930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 448215930 is about 21171.1107408185. The cubic root of 448215930 is about 765.2953876581.

The spelling of 448215930 in words is "four hundred forty-eight million, two hundred fifteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 81 90 134 135 162 201 243 270 335 402 405 486 603 670 810 1005 1206 1215 1809 2010 2430 2753 3015 3618 5427 5506 6030 8259 9045 10854 13765 16281 16518 18090 24777 27135 27530 32562 41295 49554 54270 74331 81405 82590 123885 148662 162810 184451 222993 247770 368902 371655 445986 553353 668979 743310 922255 1106706 1114965 1337958 1660059 1844510 2229930 2766765 3320118 3344895 4980177 5533530 6689790 8300295 9960354 14940531 16600590 24900885 29881062 44821593 49801770 74702655 89643186 149405310 224107965 448215930