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12448416 = 253129671
BaseRepresentation
bin101111011111…
…001010100000
3212102110000110
4233133022200
511141322131
61122451320
7210544521
oct57371240
925373013
1012448416
117032752
124203b40
13276b136
141920848
15115d646
hexbdf2a0

12448416 has 24 divisors (see below), whose sum is σ = 32677344. Its totient is φ = 4149440.

The previous prime is 12448357. The next prime is 12448417. The reversal of 12448416 is 61484421.

It is a tau number, because it is divible by the number of its divisors (24).

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 (12448417) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 64740 + ... + 64931.

It is an arithmetic number, because the mean of its divisors is an integer number (1361556).

Almost surely, 212448416 is an apocalyptic number.

12448416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12448416 is an abundant number, since it is smaller than the sum of its proper divisors (20228928).

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

12448416 is a wasteful number, since it uses less digits than its factorization.

12448416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129684 (or 129676 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 12448416 is about 3528.2312849358. The cubic root of 12448416 is about 231.7597592387.

The spelling of 12448416 in words is "twelve million, four hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 129671 259342 389013 518684 778026 1037368 1556052 2074736 3112104 4149472 6224208 12448416