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563280048 = 24334330323
BaseRepresentation
bin100001100100101…
…111100010110000
31110020220120222000
4201210233202300
52123144430143
6131521014000
716646541612
oct4144574260
91406816860
10563280048
11269a58701
12138784300
138c910006
1454b48db2
15346b7bd3
hex2192f8b0

563280048 has 80 divisors (see below), whose sum is σ = 1654477440. Its totient is φ = 183387456.

The previous prime is 563280043. The next prime is 563280059. The reversal of 563280048 is 840082365.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 563279994 and 563280021.

It is not an unprimeable number, because it can be changed into a prime (563280043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3415 + ... + 33737.

It is an arithmetic number, because the mean of its divisors is an integer number (20680968).

Almost surely, 2563280048 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 563280048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827238720).

563280048 is an abundant number, since it is smaller than the sum of its proper divisors (1091197392).

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

563280048 is a wasteful number, since it uses less digits than its factorization.

563280048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30383 (or 30371 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 563280048 is about 23733.5216097401. The cubic root of 563280048 is about 825.8632154921.

The spelling of 563280048 in words is "five hundred sixty-three million, two hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 9288 18576 30323 60646 90969 121292 181938 242584 272907 363876 485168 545814 727752 818721 1091628 1303889 1455504 1637442 2183256 2607778 3274884 3911667 4366512 5215556 6549768 7823334 10431112 11735001 13099536 15646668 20862224 23470002 31293336 35205003 46940004 62586672 70410006 93880008 140820012 187760016 281640024 563280048