Search a number
-
+
13449728 = 29109241
BaseRepresentation
bin110011010011…
…101000000000
3221022022120002
4303103220000
511420342403
61200135132
7222215015
oct63235000
927268502
1013449728
117656a86
1246074a8
132a2bb26
141b0170c
1512aa188
hexcd3a00

13449728 has 40 divisors (see below), whose sum is σ = 27232260. Its totient is φ = 6635520.

The previous prime is 13449727. The next prime is 13449749. The reversal of 13449728 is 82794431.

It can be written as a sum of positive squares in 2 ways, for example, as 12730624 + 719104 = 3568^2 + 848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13449691 and 13449700.

It is not an unprimeable number, because it can be changed into a prime (13449727) 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, 55688 + ... + 55928.

Almost surely, 213449728 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 13449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13616130).

13449728 is an abundant number, since it is smaller than the sum of its proper divisors (13782532).

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

13449728 is an equidigital number, since it uses as much as digits as its factorization.

13449728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 13449728 is about 3667.3870807429. The cubic root of 13449728 is about 237.8142278402.

The spelling of 13449728 in words is "thirteen million, four hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 109 128 218 241 256 436 482 512 872 964 1744 1928 3488 3856 6976 7712 13952 15424 26269 27904 30848 52538 55808 61696 105076 123392 210152 420304 840608 1681216 3362432 6724864 13449728