Search a number
-
+
12848864 = 257193019
BaseRepresentation
bin110001000000…
…111011100000
3220011210022212
4301000323200
511242130424
61135221252
7214133150
oct61007340
926153285
1012848864
1172865a6
124377828
13287b4a2
1419c6760
1511dc10e
hexc40ee0

12848864 has 48 divisors (see below), whose sum is σ = 30441600. Its totient is φ = 5215104.

The previous prime is 12848863. The next prime is 12848893. The reversal of 12848864 is 46884821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12848863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2747 + ... + 5765.

It is an arithmetic number, because the mean of its divisors is an integer number (634200).

Almost surely, 212848864 is an apocalyptic number.

12848864 is a gapful number since it is divisible by the number (14) 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 12848864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15220800).

12848864 is an abundant number, since it is smaller than the sum of its proper divisors (17592736).

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

12848864 is a wasteful number, since it uses less digits than its factorization.

12848864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3047 counting only the distinct ones).

The product of its digits is 98304, while the sum is 41.

The square root of 12848864 is about 3584.5312106327. The cubic root of 12848864 is about 234.2187060853.

The spelling of 12848864 in words is "twelve million, eight hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 3019 4256 6038 12076 21133 24152 42266 48304 57361 84532 96608 114722 169064 229444 338128 401527 458888 676256 803054 917776 1606108 1835552 3212216 6424432 12848864