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563005536 = 25329434703
BaseRepresentation
bin100001100011101…
…100100001100000
31110020101122101220
4201203230201200
52123112134121
6131511055040
716644316362
oct4143544140
91406348356
10563005536
11269890435
12138671480
138c845092
1454ab6d32
15346616c6
hex218ec860

563005536 has 96 divisors (see below), whose sum is σ = 1564738560. Its totient is φ = 176945664.

The previous prime is 563005529. The next prime is 563005567. The reversal of 563005536 is 635500365.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 563005497 and 563005506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117361 + ... + 122063.

It is an arithmetic number, because the mean of its divisors is an integer number (16299360).

Almost surely, 2563005536 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 563005536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782369280).

563005536 is an abundant number, since it is smaller than the sum of its proper divisors (1001733024).

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

563005536 is a wasteful number, since it uses less digits than its factorization.

563005536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

The square root of 563005536 is about 23727.7376924139. The cubic root of 563005536 is about 825.7290334498.

The spelling of 563005536 in words is "five hundred sixty-three million, five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 86 87 96 116 129 172 174 232 258 344 348 464 516 688 696 928 1032 1247 1376 1392 2064 2494 2784 3741 4128 4703 4988 7482 9406 9976 14109 14964 18812 19952 28218 29928 37624 39904 56436 59856 75248 112872 119712 136387 150496 202229 225744 272774 404458 409161 451488 545548 606687 808916 818322 1091096 1213374 1617832 1636644 2182192 2426748 3235664 3273288 4364384 4853496 5864641 6471328 6546576 9706992 11729282 13093152 17593923 19413984 23458564 35187846 46917128 70375692 93834256 140751384 187668512 281502768 563005536