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12529408 = 28172879
BaseRepresentation
bin101111110010…
…111100000000
3212120120010011
4233302330000
511201420113
61124314304
7211332613
oct57627400
925516104
1012529408
117088591
124242994
132798c68
14194217a
15117763d
hexbf2f00

12529408 has 36 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 5894144.

The previous prime is 12529403. The next prime is 12529427. The reversal of 12529408 is 80492521.

12529408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12529408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12529403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2913 + ... + 5791.

It is an arithmetic number, because the mean of its divisors is an integer number (735840).

Almost surely, 212529408 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 12529408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

12529408 is an abundant number, since it is smaller than the sum of its proper divisors (13960832).

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

12529408 is an equidigital number, since it uses as much as digits as its factorization.

12529408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 12529408 is about 3539.6903819402. The cubic root of 12529408 is about 232.2612989328.

The spelling of 12529408 in words is "twelve million, five hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 2879 4352 5758 11516 23032 46064 48943 92128 97886 184256 195772 368512 391544 737024 783088 1566176 3132352 6264704 12529408