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12238048 = 254779103
BaseRepresentation
bin101110101011…
…110011100000
3212000202110001
4232223303200
511113104143
61114145344
7206010304
oct56536340
925022401
1012238048
1169a9699
124122254
1326c6464
1418a7d04
15111b14d
hexbabce0

12238048 has 48 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 5855616.

The previous prime is 12238043. The next prime is 12238067. The reversal of 12238048 is 84083221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12238043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118765 + ... + 118867.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 212238048 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 12238048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

12238048 is an abundant number, since it is smaller than the sum of its proper divisors (12921632).

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

12238048 is a wasteful number, since it uses less digits than its factorization.

12238048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 12238048 is about 3498.2921547521. The cubic root of 12238048 is about 230.4468188676.

The spelling of 12238048 in words is "twelve million, two hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 32 47 79 94 103 158 188 206 316 376 412 632 752 824 1264 1504 1648 2528 3296 3713 4841 7426 8137 9682 14852 16274 19364 29704 32548 38728 59408 65096 77456 118816 130192 154912 260384 382439 764878 1529756 3059512 6119024 12238048