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12393408 = 263173797
BaseRepresentation
bin101111010001…
…101111000000
3212022122120010
4233101233000
511133042113
61121344520
7210225246
oct57215700
925278503
1012393408
116aa5395
124198140
13274c0a1
141908796
15114c1c3
hexbd1bc0

12393408 has 56 divisors (see below), whose sum is σ = 34728912. Its totient is φ = 3887104.

The previous prime is 12393401. The next prime is 12393413. The reversal of 12393408 is 80439321.

12393408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12393401) 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, 1366 + ... + 5162.

Almost surely, 212393408 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 12393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364456).

12393408 is an abundant number, since it is smaller than the sum of its proper divisors (22335504).

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

12393408 is a wasteful number, since it uses less digits than its factorization.

12393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 12393408 is about 3520.4272467983. The cubic root of 12393408 is about 231.4178826687.

The spelling of 12393408 in words is "twelve million, three hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 3797 7594 11391 15188 22782 30376 45564 60752 64549 91128 121504 129098 182256 193647 243008 258196 364512 387294 516392 729024 774588 1032784 1549176 2065568 3098352 4131136 6196704 12393408