43264 has 27 divisors (see below), whose sum is σ = 93513. Its totient is φ = 19968.

The previous prime is 43261. The next prime is 43271. The reversal of 43264 is 46234.

Multipling 43264 by its product of digits (576), we get a square (24920064 = 4992^{2}).

Adding to 43264 its reverse (46234), we get a palindrome (89498).

It can be divided in two parts, 432 and 64, that added together give a triangular number (496 = T_{31}).

43264 = T_{75} + T_{76} + ... +
T_{87}.

The square root of 43264 is 208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6400 + 36864 = 80^2 + 192^2 .

It is a Duffinian number.

It is a nialpdrome in base 4, base 9, base 15 and base 16.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (43261) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3322 + ... + 3334.

43264 is a Friedman number, since it can be written as (34*6+4)^2, using all its digits and the basic arithmetic operations.

2^{43264} is an apocalyptic number.

43264 is the 208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43264

43264 is an abundant number, since it is smaller than the sum of its proper divisors (50249).

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

43264 is an equidigital number, since it uses as much as digits as its factorization.

43264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 15 counting only the distinct ones).

The product of its digits is 576, while the sum is 19.

The cubic root of 43264 is about 35.1055318213.

The spelling of 43264 in words is "forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 21632 43264

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