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12433056 = 253671933
BaseRepresentation
bin101111011011…
…011010100000
3212101122221120
4233123122200
511140324211
61122252240
7210451656
oct57333240
925348846
1012433056
117022159
1241b7080
13276414c
141918dd6
151158d06
hexbdb6a0

12433056 has 48 divisors (see below), whose sum is σ = 33141024. Its totient is φ = 4080384.

The previous prime is 12433037. The next prime is 12433067. The reversal of 12433056 is 65033421.

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 congruent number.

It is an unprimeable number.

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, 5466 + ... + 7398.

It is an arithmetic number, because the mean of its divisors is an integer number (690438).

Almost surely, 212433056 is an apocalyptic number.

12433056 is a gapful number since it is divisible by the number (16) 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 12433056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16570512).

12433056 is an abundant number, since it is smaller than the sum of its proper divisors (20707968).

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

12433056 is a wasteful number, since it uses less digits than its factorization.

12433056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 12433056 is about 3526.0538850108. The cubic root of 12433056 is about 231.6643978408.

Adding to 12433056 its reverse (65033421), we get a palindrome (77466477).

The spelling of 12433056 in words is "twelve million, four hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 1933 2144 3216 3866 5799 6432 7732 11598 15464 23196 30928 46392 61856 92784 129511 185568 259022 388533 518044 777066 1036088 1554132 2072176 3108264 4144352 6216528 12433056