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12409424 = 2431127197
BaseRepresentation
bin101111010101…
…101001010000
3212100110112022
4233111221100
511134100144
61121551012
7210323036
oct57255120
925313468
1012409424
117006425
1241a5468
132756471
141910556
151151cee
hexbd5a50

12409424 has 40 divisors (see below), whose sum is σ = 25141248. Its totient is φ = 5927040.

The previous prime is 12409421. The next prime is 12409433. The reversal of 12409424 is 42490421.

12409424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12409393 and 12409402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12409421) 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, 62894 + ... + 63090.

Almost surely, 212409424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12409424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12570624).

12409424 is an abundant number, since it is smaller than the sum of its proper divisors (12731824).

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

12409424 is a wasteful number, since it uses less digits than its factorization.

12409424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 12409424 is about 3522.7012362674. The cubic root of 12409424 is about 231.5175268604.

Adding to 12409424 its reverse (42490421), we get a palindrome (54899845).

The spelling of 12409424 in words is "twelve million, four hundred nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 127 197 248 254 394 496 508 788 1016 1576 2032 3152 3937 6107 7874 12214 15748 24428 25019 31496 48856 50038 62992 97712 100076 200152 400304 775589 1551178 3102356 6204712 12409424