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563730496 = 2672672683
BaseRepresentation
bin100001100110011…
…101100001000000
31110021202110212021
4201212131201000
52123303333441
6131534411224
716653426100
oct4146354100
91407673767
10563730496
1126a23607a
12138960b14
138ca3a054
1454c25200
15347563d1
hex2199d840

563730496 has 84 divisors (see below), whose sum is σ = 1321204368. Its totient is φ = 237904128.

The previous prime is 563730487. The next prime is 563730533. The reversal of 563730496 is 694037365.

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 11 ways as a sum of consecutive naturals, for example, 208771 + ... + 211453.

Almost surely, 2563730496 is an apocalyptic number.

563730496 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 563730496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660602184).

563730496 is an abundant number, since it is smaller than the sum of its proper divisors (757473872).

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

563730496 is a wasteful number, since it uses less digits than its factorization.

563730496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The square root of 563730496 is about 23743.0094132989. The cubic root of 563730496 is about 826.0833009928.

The spelling of 563730496 in words is "five hundred sixty-three million, seven hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 67 98 112 134 196 224 268 392 448 469 536 784 938 1072 1568 1876 2144 2683 3136 3283 3752 4288 5366 6566 7504 10732 13132 15008 18781 21464 26264 30016 37562 42928 52528 75124 85856 105056 131467 150248 171712 179761 210112 262934 300496 359522 525868 600992 719044 1051736 1201984 1258327 1438088 2103472 2516654 2876176 4206944 5033308 5752352 8413888 8808289 10066616 11504704 17616578 20133232 35233156 40266464 70466312 80532928 140932624 281865248 563730496