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12287808 = 263313547
BaseRepresentation
bin101110110111…
…111101000000
3212010021201000
4232313331000
511121202213
61115212000
7206305341
oct56677500
925107630
1012287808
116a33015
124147000
132712cc0
1418bc0c8
15112ac73
hexbb7f40

12287808 has 112 divisors (see below), whose sum is σ = 38973760. Its totient is φ = 3773952.

The previous prime is 12287801. The next prime is 12287827. The reversal of 12287808 is 80878221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12287801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22191 + ... + 22737.

It is an arithmetic number, because the mean of its divisors is an integer number (347980).

Almost surely, 212287808 is an apocalyptic number.

12287808 is a gapful number since it is divisible by the number (18) 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 12287808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19486880).

12287808 is an abundant number, since it is smaller than the sum of its proper divisors (26685952).

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

12287808 is a wasteful number, since it uses less digits than its factorization.

12287808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 12287808 is about 3505.3969817982. The cubic root of 12287808 is about 230.7587293683.

The spelling of 12287808 in words is "twelve million, two hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 547 576 624 702 832 864 936 1094 1248 1404 1641 1728 1872 2188 2496 2808 3282 3744 4376 4923 5616 6564 7111 7488 8752 9846 11232 13128 14222 14769 17504 19692 21333 22464 26256 28444 29538 35008 39384 42666 52512 56888 59076 63999 78768 85332 105024 113776 118152 127998 157536 170664 191997 227552 236304 255996 315072 341328 383994 455104 472608 511992 682656 767988 945216 1023984 1365312 1535976 2047968 3071952 4095936 6143904 12287808