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3563027264 = 26413074423
BaseRepresentation
bin1101010001011111…
…0111101101000000
3100012022110112112202
43110113313231000
524244113333024
61345320012332
7154203142406
oct32427675500
910168415482
103563027264
111569266135
128353010a8
1344a236474
1425b2c7476
1515cc0bbae
hexd45f7b40

3563027264 has 56 divisors (see below), whose sum is σ = 7268065728. Its totient is φ = 1732008960.

The previous prime is 3563027227. The next prime is 3563027309. The reversal of 3563027264 is 4627203653.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 803357 + ... + 807779.

It is an arithmetic number, because the mean of its divisors is an integer number (129786888).

Almost surely, 23563027264 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 3563027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634032864).

3563027264 is an abundant number, since it is smaller than the sum of its proper divisors (3705038464).

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

3563027264 is a wasteful number, since it uses less digits than its factorization.

3563027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

The square root of 3563027264 is about 59691.0986998899. The cubic root of 3563027264 is about 1527.3540301046.

The spelling of 3563027264 in words is "three billion, five hundred sixty-three million, twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 307 328 614 656 1228 1312 2456 2624 4423 4912 8846 9824 12587 17692 19648 25174 35384 50348 70768 100696 141536 181343 201392 283072 362686 402784 725372 805568 1357861 1450744 2715722 2901488 5431444 5802976 10862888 11605952 21725776 43451552 55672301 86903104 111344602 222689204 445378408 890756816 1781513632 3563027264