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41800 = 23521119
BaseRepresentation
bin1010001101001000
32010100011
422031020
52314200
6521304
7232603
oct121510
963304
1041800
1129450
1220234
1316045
141133a
15c5ba
hexa348

41800 has 48 divisors (see below), whose sum is σ = 111600. Its totient is φ = 14400.

The previous prime is 41777. The next prime is 41801. The reversal of 41800 is 814.

41800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

41800 is strictly pandigital in base 6.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (41801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2191 + ... + 2209.

It is an arithmetic number, because the mean of its divisors is an integer number (2325).

241800 is an apocalyptic number.

41800 is a gapful number since it is divisible by the number (40) 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 41800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800).

41800 is an abundant number, since it is smaller than the sum of its proper divisors (69800).

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

41800 is a wasteful number, since it uses less digits than its factorization.

41800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 41800 is about 204.4504830026. The cubic root of 41800 is about 34.7050036109.

It can be divided in two parts, 41 and 800, that added together give a square (841 = 292).

The spelling of 41800 in words is "forty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 760 836 950 1045 1100 1672 1900 2090 2200 3800 4180 5225 8360 10450 20900 41800