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12242048 = 277131051
BaseRepresentation
bin101110101100…
…110010000000
3212000221221012
4232230302000
511113221143
61114220052
7206025050
oct56546200
925027835
1012242048
116a016a5
124124628
1326c8220
1418a9560
15111c418
hexbacc80

12242048 has 64 divisors (see below), whose sum is σ = 30045120. Its totient is φ = 4838400.

The previous prime is 12242047. The next prime is 12242059. The reversal of 12242048 is 84024221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12242047) 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, 11123 + ... + 12173.

It is an arithmetic number, because the mean of its divisors is an integer number (469455).

Almost surely, 212242048 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 12242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15022560).

12242048 is an abundant number, since it is smaller than the sum of its proper divisors (17803072).

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

12242048 is a wasteful number, since it uses less digits than its factorization.

12242048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 12242048 is about 3498.8638155836. The cubic root of 12242048 is about 230.4719232760.

Adding to 12242048 its reverse (84024221), we get a palindrome (96266269).

The spelling of 12242048 in words is "twelve million, two hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1051 1456 1664 2102 2912 4204 5824 7357 8408 11648 13663 14714 16816 27326 29428 33632 54652 58856 67264 95641 109304 117712 134528 191282 218608 235424 382564 437216 470848 765128 874432 941696 1530256 1748864 3060512 6121024 12242048