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48455568 = 2432753907
BaseRepresentation
bin1011100011010…
…1111110010000
310101011210112200
42320311332100
544401034233
64450323200
71125602610
oct270657620
9111153480
1048455568
1125396427
1214289500
13a067445
146614a40
1543c2313
hex2e35f90

48455568 has 120 divisors (see below), whose sum is σ = 158079168. Its totient is φ = 13568256.

The previous prime is 48455531. The next prime is 48455569. The reversal of 48455568 is 86555484.

48455568 is a `hidden beast` number, since 4 + 84 + 5 + 5 + 568 = 666.

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 not an unprimeable number, because it can be changed into a prime (48455569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52971 + ... + 53877.

Almost surely, 248455568 is an apocalyptic number.

48455568 is a gapful number since it is divisible by the number (48) 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 48455568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79039584).

48455568 is an abundant number, since it is smaller than the sum of its proper divisors (109623600).

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

48455568 is a wasteful number, since it uses less digits than its factorization.

48455568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 972 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 48455568 is about 6961.0033759509. The cubic root of 48455568 is about 364.5702529606.

The spelling of 48455568 in words is "forty-eight million, four hundred fifty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 424 477 504 636 742 848 907 954 1008 1113 1272 1484 1814 1908 2226 2544 2721 2968 3339 3628 3816 4452 5442 5936 6349 6678 7256 7632 8163 8904 10884 12698 13356 14512 16326 17808 19047 21768 25396 26712 32652 38094 43536 48071 50792 53424 57141 65304 76188 96142 101584 114282 130608 144213 152376 192284 228564 288426 304752 336497 384568 432639 457128 576852 672994 769136 865278 914256 1009491 1153704 1345988 1730556 2018982 2307408 2691976 3028473 3461112 4037964 5383952 6056946 6922224 8075928 12113892 16151856 24227784 48455568