Search a number
-
+
12618848 = 251123259
BaseRepresentation
bin110000001000…
…110001100000
3212202002210202
4300020301200
511212300343
61130244332
7212154434
oct60106140
925662722
1012618848
117139800
1242866a8
1327ca898
1419669c4
151193db8
hexc08c60

12618848 has 36 divisors (see below), whose sum is σ = 27315540. Its totient is φ = 5734080.

The previous prime is 12618841. The next prime is 12618863. The reversal of 12618848 is 84881621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12618841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2243 + ... + 5501.

It is an arithmetic number, because the mean of its divisors is an integer number (758765).

Almost surely, 212618848 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 12618848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657770).

12618848 is an abundant number, since it is smaller than the sum of its proper divisors (14696692).

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

12618848 is a wasteful number, since it uses less digits than its factorization.

12618848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3272 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 12618848 is about 3552.3017889813. The cubic root of 12618848 is about 232.8126475653.

The spelling of 12618848 in words is "twelve million, six hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3259 3872 6518 13036 26072 35849 52144 71698 104288 143396 286792 394339 573584 788678 1147168 1577356 3154712 6309424 12618848