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12242448 = 2433171667
BaseRepresentation
bin101110101100…
…111000010000
3212000222111000
4232230320100
511113224243
61114222000
7206026161
oct56547020
925028430
1012242448
116a01a29
124124900
1326c846a
1418a9768
15111c5d3
hexbace10

12242448 has 80 divisors (see below), whose sum is σ = 37229760. Its totient is φ = 3838464.

The previous prime is 12242443. The next prime is 12242453. The reversal of 12242448 is 84424221.

It is an interprime number because it is at equal distance from previous prime (12242443) and next prime (12242453).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12242443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6511 + ... + 8177.

It is an arithmetic number, because the mean of its divisors is an integer number (465372).

Almost surely, 212242448 is an apocalyptic number.

12242448 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 12242448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614880).

12242448 is an abundant number, since it is smaller than the sum of its proper divisors (24987312).

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

12242448 is a wasteful number, since it uses less digits than its factorization.

12242448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1689 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 12242448 is about 3498.9209765298. The cubic root of 12242448 is about 230.4744334161.

Adding to 12242448 its reverse (84424221), we get a palindrome (96666669).

The spelling of 12242448 in words is "twelve million, two hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1667 1836 2448 3334 3672 5001 6668 7344 10002 13336 15003 20004 26672 28339 30006 40008 45009 56678 60012 80016 85017 90018 113356 120024 170034 180036 226712 240048 255051 340068 360072 453424 510102 680136 720144 765153 1020204 1360272 1530306 2040408 3060612 4080816 6121224 12242448