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12443424 = 253718517
BaseRepresentation
bin101111011101…
…111100100000
3212102012011120
4233131330200
511141142144
61122412240
7210524130
oct57357440
925365146
1012443424
117029a24
124201080
132768a96
14191cac0
15115be19
hexbddf20

12443424 has 48 divisors (see below), whose sum is σ = 37332288. Its totient is φ = 3555072.

The previous prime is 12443411. The next prime is 12443429. The reversal of 12443424 is 42434421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 12443394 and 12443403.

It is not an unprimeable number, because it can be changed into a prime (12443429) 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, 8587 + ... + 9930.

It is an arithmetic number, because the mean of its divisors is an integer number (777756).

Almost surely, 212443424 is an apocalyptic number.

12443424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12443424 is an abundant number, since it is smaller than the sum of its proper divisors (24888864).

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

12443424 is a wasteful number, since it uses less digits than its factorization.

12443424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18537 (or 18529 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 12443424 is about 3527.5237773827. The cubic root of 12443424 is about 231.7287753930.

Adding to 12443424 its reverse (42434421), we get a palindrome (54877845).

The spelling of 12443424 in words is "twelve million, four hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 18517 37034 55551 74068 111102 129619 148136 222204 259238 296272 388857 444408 518476 592544 777714 888816 1036952 1555428 1777632 2073904 3110856 4147808 6221712 12443424