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12388038 = 2313219643
BaseRepresentation
bin101111010000…
…011011000110
3212022101012020
4233100123012
511132404123
61121304010
7210203505
oct57203306
925271166
1012388038
116aa1353
124195006
132749800
14190683c
15114a7e3
hexbd06c6

12388038 has 48 divisors (see below), whose sum is σ = 28284480. Its totient is φ = 3605472.

The previous prime is 12388037. The next prime is 12388049. The reversal of 12388038 is 83088321.

12388038 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×123880383 (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12388031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18945 + ... + 19587.

It is an arithmetic number, because the mean of its divisors is an integer number (589260).

Almost surely, 212388038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12388038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14142240).

12388038 is an abundant number, since it is smaller than the sum of its proper divisors (15896442).

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

12388038 is a wasteful number, since it uses less digits than its factorization.

12388038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 12388038 is about 3519.6644726451. The cubic root of 12388038 is about 231.3844537803.

The spelling of 12388038 in words is "twelve million, three hundred eighty-eight thousand, thirty-eight".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 494 507 643 741 1014 1286 1482 1929 3211 3858 6422 8359 9633 12217 16718 19266 24434 25077 36651 50154 73302 108667 158821 217334 317642 326001 476463 652002 952926 2064673 4129346 6194019 12388038