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563148096 = 2637616869
BaseRepresentation
bin100001100100001…
…111010101000000
31110020122212221220
4201210033111000
52123131214341
6131514115040
716645452120
oct4144172500
91406585856
10563148096
11269978555
1213871ba80
138c894c34
1454b12c80
153468da66
hex2190f540

563148096 has 112 divisors (see below), whose sum is σ = 1731020160. Its totient is φ = 158238720.

The previous prime is 563148083. The next prime is 563148101. The reversal of 563148096 is 690841365.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 78550 + ... + 85418.

Almost surely, 2563148096 is an apocalyptic number.

563148096 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 563148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865510080).

563148096 is an abundant number, since it is smaller than the sum of its proper divisors (1167872064).

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

563148096 is a wasteful number, since it uses less digits than its factorization.

563148096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 563148096 is about 23730.7415813329. The cubic root of 563148096 is about 825.7987225199.

The spelling of 563148096 in words is "five hundred sixty-three million, one hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 672 732 854 976 1281 1344 1464 1708 1952 2562 2928 3416 3904 5124 5856 6832 6869 10248 11712 13664 13738 20496 20607 27328 27476 40992 41214 48083 54952 81984 82428 96166 109904 144249 164856 192332 219808 288498 329712 384664 419009 439616 576996 659424 769328 838018 1153992 1257027 1318848 1538656 1676036 2307984 2514054 2933063 3077312 3352072 4615968 5028108 5866126 6704144 8799189 9231936 10056216 11732252 13408288 17598378 20112432 23464504 26816576 35196756 40224864 46929008 70393512 80449728 93858016 140787024 187716032 281574048 563148096