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12442437 = 337431531
BaseRepresentation
bin101111011101…
…101101000101
3212102010211000
4233131231011
511141124222
61122403513
7210521220
oct57355505
925363730
1012442437
117029207
124200599
1327684b7
14191c5b7
15115b9ac
hexbddb45

12442437 has 32 divisors (see below), whose sum is σ = 21570560. Its totient is φ = 6940080.

The previous prime is 12442429. The next prime is 12442513. The reversal of 12442437 is 73424421.

12442437 is nontrivially palindromic in base 11.

It is not a de Polignac number, because 12442437 - 23 = 12442429 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12442437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7362 + ... + 8892.

It is an arithmetic number, because the mean of its divisors is an integer number (674080).

Almost surely, 212442437 is an apocalyptic number.

It is an amenable number.

12442437 is a deficient number, since it is larger than the sum of its proper divisors (9128123).

12442437 is a wasteful number, since it uses less digits than its factorization.

12442437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 12442437 is about 3527.3838747718. The cubic root of 12442437 is about 231.7226483991.

Adding to 12442437 its reverse (73424421), we get a palindrome (85866858).

The spelling of 12442437 in words is "twelve million, four hundred forty-two thousand, four hundred thirty-seven".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 903 1161 1531 2709 4593 8127 10717 13779 32151 41337 65833 96453 197499 289359 460831 592497 1382493 1777491 4147479 12442437