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12938352 = 243725501
BaseRepresentation
bin110001010110…
…110001110000
3220100100002020
4301112301300
511303011402
61141151440
7214655100
oct61266160
926310066
1012938352
117337859
1243bb580
1328b013b
141a0b200
1512088bc
hexc56c70

12938352 has 60 divisors (see below), whose sum is σ = 38888136. Its totient is φ = 3696000.

The previous prime is 12938347. The next prime is 12938363. The reversal of 12938352 is 25383921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399 + ... + 5102.

Almost surely, 212938352 is an apocalyptic number.

12938352 is a gapful number since it is divisible by the number (12) 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 12938352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19444068).

12938352 is an abundant number, since it is smaller than the sum of its proper divisors (25949784).

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

12938352 is a wasteful number, since it uses less digits than its factorization.

12938352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5513 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 12938352 is about 3596.9920767219. The cubic root of 12938352 is about 234.7612000041.

The spelling of 12938352 in words is "twelve million, nine hundred thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 5501 11002 16503 22004 33006 38507 44008 66012 77014 88016 115521 132024 154028 231042 264048 269549 308056 462084 539098 616112 808647 924168 1078196 1617294 1848336 2156392 3234588 4312784 6469176 12938352