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12033008 = 2413174183
BaseRepresentation
bin101101111001…
…101111110000
3211122100011222
4231321233300
511040024013
61105524212
7204164441
oct55715760
924570158
1012033008
116879639
124043668
132654030
1418532c8
1510ca508
hexb79bf0

12033008 has 80 divisors (see below), whose sum is σ = 27560736. Its totient is φ = 5038080.

The previous prime is 12033001. The next prime is 12033013. The reversal of 12033008 is 80033021.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144935 + ... + 145017.

Almost surely, 212033008 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 12033008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780368).

12033008 is an abundant number, since it is smaller than the sum of its proper divisors (15527728).

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

12033008 is a wasteful number, since it uses less digits than its factorization.

12033008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 12033008 is about 3468.8626378108. The cubic root of 12033008 is about 229.1525714894.

Adding to 12033008 its reverse (80033021), we get a palindrome (92066029).

The spelling of 12033008 in words is "twelve million, thirty-three thousand, eight".

Divisors: 1 2 4 8 13 16 17 26 34 41 52 68 82 83 104 136 164 166 208 221 272 328 332 442 533 656 664 697 884 1066 1079 1328 1394 1411 1768 2132 2158 2788 2822 3403 3536 4264 4316 5576 5644 6806 8528 8632 9061 11152 11288 13612 17264 18122 18343 22576 27224 36244 36686 44239 54448 57851 72488 73372 88478 115702 144976 146744 176956 231404 293488 353912 462808 707824 752063 925616 1504126 3008252 6016504 12033008