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5863968 = 253311617
BaseRepresentation
bin10110010111101000100000
3102000220212000
4112113220200
53000121333
6325404000
7100562055
oct26275040
912026760
105863968
113345760
121b69600
1312a4106
14ac902c
157ac713
hex597a20

5863968 has 96 divisors (see below), whose sum is σ = 18688320. Its totient is φ = 1774080.

The previous prime is 5863939. The next prime is 5863981. The reversal of 5863968 is 8693685.

5863968 is a `hidden beast` number, since 5 + 8 + 639 + 6 + 8 = 666.

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

It is a super-2 number, since 2×58639682 = 68772241410048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9196 + ... + 9812.

It is an arithmetic number, because the mean of its divisors is an integer number (194670).

Almost surely, 25863968 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 5863968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9344160).

5863968 is an abundant number, since it is smaller than the sum of its proper divisors (12824352).

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

5863968 is a wasteful number, since it uses less digits than its factorization.

5863968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 633 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 5863968 is about 2421.5631315330. The cubic root of 5863968 is about 180.3282897794.

It can be divided in two parts, 586 and 3968, that added together give a palindrome (4554).

The spelling of 5863968 in words is "five million, eight hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 617 792 864 1056 1188 1234 1584 1851 2376 2468 3168 3702 4752 4936 5553 6787 7404 9504 9872 11106 13574 14808 16659 19744 20361 22212 27148 29616 33318 40722 44424 54296 59232 61083 66636 81444 88848 108592 122166 133272 162888 177696 183249 217184 244332 266544 325776 366498 488664 533088 651552 732996 977328 1465992 1954656 2931984 5863968