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43808 = 25372
BaseRepresentation
bin1010101100100000
32020002112
422230200
52400213
6534452
7241502
oct125440
966075
1043808
112aa06
1221428
1316c2b
1411d72
15cea8
hexab20

43808 has 18 divisors (see below), whose sum is σ = 88641. Its totient is φ = 21312.

The previous prime is 43801. The next prime is 43853. The reversal of 43808 is 80834.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 8464 = 188^2 + 92^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=148.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43801) by changing a digit.

43808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1166 + ... + 1202.

243808 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 43808

43808 is an abundant number, since it is smaller than the sum of its proper divisors (44833).

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

43808 is an equidigital number, since it uses as much as digits as its factorization.

43808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 43808 is about 209.3036072312. The cubic root of 43808 is about 35.2520579588.

The spelling of 43808 in words is "forty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1369 2738 5476 10952 21904 43808