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12858048 = 263371063
BaseRepresentation
bin110001000011…
…001011000000
3220012020221000
4301003023000
511242424143
61135332000
7214202010
oct61031300
926166830
1012858048
117292495
124381000
132882718
1419c9c40
1511debd3
hexc432c0

12858048 has 112 divisors (see below), whose sum is σ = 43240960. Its totient is φ = 3670272.

The previous prime is 12858017. The next prime is 12858061. The reversal of 12858048 is 84085821.

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 (36).

It is a congruent number.

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, 11565 + ... + 12627.

It is an arithmetic number, because the mean of its divisors is an integer number (386080).

Almost surely, 212858048 is an apocalyptic number.

12858048 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 12858048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21620480).

12858048 is an abundant number, since it is smaller than the sum of its proper divisors (30382912).

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

12858048 is a wasteful number, since it uses less digits than its factorization.

12858048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 12858048 is about 3585.8120419230. The cubic root of 12858048 is about 234.2744970692.

The spelling of 12858048 in words is "twelve million, eight hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1063 1344 1512 1728 2016 2126 3024 3189 4032 4252 6048 6378 7441 8504 9567 12096 12756 14882 17008 19134 22323 25512 28701 29764 34016 38268 44646 51024 57402 59528 66969 68032 76536 89292 102048 114804 119056 133938 153072 178584 200907 204096 229608 238112 267876 306144 357168 401814 459216 476224 535752 612288 714336 803628 918432 1071504 1428672 1607256 1836864 2143008 3214512 4286016 6429024 12858048