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563880576 = 27373167101
BaseRepresentation
bin100001100111000…
…010001010000000
31110022001002201210
4201213002022000
52123323134301
6131541530120
716654622460
oct4147021200
91408032653
10563880576
1126a328906
12138a13940
138ca9045c
1454c63ba0
1534785ad6
hex219c2280

563880576 has 256 divisors, whose sum is σ = 1811128320. Its totient is φ = 152064000.

The previous prime is 563880571. The next prime is 563880617. The reversal of 563880576 is 675088365.

It is a super-2 number, since 2×5638805762 = 635922607980183552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (563880571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5582926 + ... + 5583026.

It is an arithmetic number, because the mean of its divisors is an integer number (7074720).

Almost surely, 2563880576 is an apocalyptic number.

563880576 is a gapful number since it is divisible by the number (56) 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 563880576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905564160).

563880576 is an abundant number, since it is smaller than the sum of its proper divisors (1247247744).

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

563880576 is a wasteful number, since it uses less digits than its factorization.

563880576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 563880576 is about 23746.1697121873. The cubic root of 563880576 is about 826.1566029117.

The spelling of 563880576 in words is "five hundred sixty-three million, eight hundred eighty thousand, five hundred seventy-six".