Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
43008 = 21137
BaseRepresentation
bin1010100000000000
32011222220
422200000
52334013
6531040
7236250
oct124000
964886
1043008
112a349
1220a80
1316764
1411960
15cb23
hexa800

43008 has 48 divisors (see below), whose sum is σ = 131040. Its totient is φ = 12288.

The previous prime is 43003. The next prime is 43013. The reversal of 43008 is 80034.

It is an interprime number because it is at equal distance from previous prime (43003) and next prime (43013).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (43003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6141 + ... + 6147.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

243008 is an apocalyptic number.

43008 is a gapful number since it is divisible by the number (48) 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 43008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

43008 is an abundant number, since it is smaller than the sum of its proper divisors (88032).

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

43008 is an equidigital number, since it uses as much as digits as its factorization.

43008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 43008 is about 207.3837023491. The cubic root of 43008 is about 35.0361531191.

The spelling of 43008 in words is "forty-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008