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12795424 = 251743547
BaseRepresentation
bin110000110011…
…111000100000
3220002002000121
4300303320200
511233423144
61134130024
7213521305
oct60637040
926062017
1012795424
11724a434
124350914
132860075
1419b10ac
1511cb384
hexc33e20

12795424 has 48 divisors (see below), whose sum is σ = 27343008. Its totient is φ = 5870592.

The previous prime is 12795361. The next prime is 12795427. The reversal of 12795424 is 42459721.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 12795424.

It is not an unprimeable number, because it can be changed into a prime (12795427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23119 + ... + 23665.

It is an arithmetic number, because the mean of its divisors is an integer number (569646).

Almost surely, 212795424 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 12795424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13671504).

12795424 is an abundant number, since it is smaller than the sum of its proper divisors (14547584).

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

12795424 is a wasteful number, since it uses less digits than its factorization.

12795424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 12795424 is about 3577.0691913912. The cubic root of 12795424 is about 233.8935400988.

The spelling of 12795424 in words is "twelve million, seven hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 272 344 544 547 688 731 1094 1376 1462 2188 2924 4376 5848 8752 9299 11696 17504 18598 23392 23521 37196 47042 74392 94084 148784 188168 297568 376336 399857 752672 799714 1599428 3198856 6397712 12795424