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563876280 = 23325112341151
BaseRepresentation
bin100001100111000…
…001000110111000
31110022000212211200
4201213001012320
52123323020110
6131541454200
716654604112
oct4147010670
91408025750
10563876280
1126a325660
12138a11360
138ca8b506
1454c623b2
15347846c0
hex219c11b8

563876280 has 384 divisors, whose sum is σ = 2151152640. Its totient is φ = 126720000.

The previous prime is 563876273. The next prime is 563876297. The reversal of 563876280 is 82678365.

563876280 is a `hidden beast` number, since 5 + 638 + 7 + 6 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3734205 + ... + 3734355.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2563876280 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 563876280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

563876280 is an abundant number, since it is smaller than the sum of its proper divisors (1587276360).

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

563876280 is a wasteful number, since it uses less digits than its factorization.

563876280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 563876280 is about 23746.0792553213. The cubic root of 563876280 is about 826.1545048446.

It can be divided in two parts, 5638 and 76280, that added together give a palindrome (81918).

The spelling of 563876280 in words is "five hundred sixty-three million, eight hundred seventy-six thousand, two hundred eighty".