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12033828 = 22323141263
BaseRepresentation
bin101101111001…
…111100100100
3211122101022100
4231321330210
511040040303
61105532100
7204200022
oct55717444
924571270
1012033828
11687a214
124044030
132654511
141853712
1510ca8a3
hexb79f24

12033828 has 72 divisors (see below), whose sum is σ = 32288256. Its totient is φ = 3772800.

The previous prime is 12033793. The next prime is 12033839. The reversal of 12033828 is 82833021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45625 + ... + 45887.

It is an arithmetic number, because the mean of its divisors is an integer number (448448).

Almost surely, 212033828 is an apocalyptic number.

12033828 is a gapful number since it is divisible by the number (18) 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 12033828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144128).

12033828 is an abundant number, since it is smaller than the sum of its proper divisors (20254428).

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

12033828 is a wasteful number, since it uses less digits than its factorization.

12033828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12033828 is about 3468.9808301575. The cubic root of 12033828 is about 229.1577766395.

Adding to 12033828 its reverse (82833021), we get a palindrome (94866849).

The spelling of 12033828 in words is "twelve million, thirty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 164 186 246 263 279 369 372 492 526 558 738 789 1052 1116 1271 1476 1578 2367 2542 3156 3813 4734 5084 7626 8153 9468 10783 11439 15252 16306 21566 22878 24459 32349 32612 43132 45756 48918 64698 73377 97047 97836 129396 146754 194094 293508 334273 388188 668546 1002819 1337092 2005638 3008457 4011276 6016914 12033828