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12408896 = 26414729
BaseRepresentation
bin101111010101…
…100001000000
3212100102210202
4233111201000
511134041041
61121544332
7210321353
oct57254100
925312722
1012408896
117005a95
1241a50a8
132756156
14191029a
151151a9b
hexbd5840

12408896 has 28 divisors (see below), whose sum is σ = 25229820. Its totient is φ = 6051840.

The previous prime is 12408889. The next prime is 12408899. The reversal of 12408896 is 69880421.

It can be written as a sum of positive squares in 2 ways, for example, as 409600 + 11999296 = 640^2 + 3464^2 .

It is not an unprimeable number, because it can be changed into a prime (12408899) 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, 260 + ... + 4988.

It is an arithmetic number, because the mean of its divisors is an integer number (901065).

Almost surely, 212408896 is an apocalyptic number.

12408896 is a gapful number since it is divisible by the number (16) 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 12408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12614910).

12408896 is an abundant number, since it is smaller than the sum of its proper divisors (12820924).

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

12408896 is an equidigital number, since it uses as much as digits as its factorization.

12408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 12408896 is about 3522.6262929808. The cubic root of 12408896 is about 231.5142432541.

The spelling of 12408896 in words is "twelve million, four hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 4729 9458 18916 37832 75664 151328 193889 302656 387778 775556 1551112 3102224 6204448 12408896