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12038256 = 2432412039
BaseRepresentation
bin101101111011…
…000001110000
3211122121101100
4231323001300
511040211011
61110004400
7204215646
oct55730160
924577340
1012038256
11688257a
124046700
132656539
141855196
1510cbd56
hexb7b070

12038256 has 60 divisors (see below), whose sum is σ = 34529040. Its totient is φ = 3912960.

The previous prime is 12038239. The next prime is 12038281. The reversal of 12038256 is 65283021.

12038256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4885 + ... + 6923.

It is an arithmetic number, because the mean of its divisors is an integer number (575484).

Almost surely, 212038256 is an apocalyptic number.

12038256 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 12038256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17264520).

12038256 is an abundant number, since it is smaller than the sum of its proper divisors (22490784).

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

12038256 is a wasteful number, since it uses less digits than its factorization.

12038256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12038256 is about 3469.6189992563. The cubic root of 12038256 is about 229.1858803652.

The spelling of 12038256 in words is "twelve million, thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2039 2952 4078 5904 6117 8156 12234 16312 18351 24468 32624 36702 48936 73404 83599 97872 146808 167198 250797 293616 334396 501594 668792 752391 1003188 1337584 1504782 2006376 3009564 4012752 6019128 12038256