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563053800 = 233522340801
BaseRepresentation
bin100001100011111…
…000010011101000
31110020111002121110
4201203320103220
52123120210200
6131512110320
716644610161
oct4143702350
91406432543
10563053800
11269913721
121386953a0
138c86103a
1454aca768
1534670b50
hex218f84e8

563053800 has 96 divisors (see below), whose sum is σ = 1821401280. Its totient is φ = 143616000.

The previous prime is 563053789. The next prime is 563053819. The reversal of 563053800 is 8350365.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6601 + ... + 34200.

It is an arithmetic number, because the mean of its divisors is an integer number (18972930).

Almost surely, 2563053800 is an apocalyptic number.

563053800 is a gapful number since it is divisible by the number (50) 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 563053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910700640).

563053800 is an abundant number, since it is smaller than the sum of its proper divisors (1258347480).

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

563053800 is a wasteful number, since it uses less digits than its factorization.

563053800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40843 (or 40834 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 563053800 is about 23728.7547081595. The cubic root of 563053800 is about 825.7526281541.

The spelling of 563053800 in words is "five hundred sixty-three million, fifty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 40801 81602 122403 163204 204005 244806 326408 408010 489612 612015 816020 938423 979224 1020025 1224030 1632040 1876846 2040050 2448060 2815269 3060075 3753692 4080100 4692115 4896120 5630538 6120150 7507384 8160200 9384230 11261076 12240300 14076345 18768460 22522152 23460575 24480600 28152690 37536920 46921150 56305380 70381725 93842300 112610760 140763450 187684600 281526900 563053800