Base | Representation |
---|---|
bin | 1001111110011… |
… | …0000101100100 |
3 | 2220201112102211 |
4 | 2133212011210 |
5 | 41202240100 |
6 | 4052413204 |
7 | 1015415320 |
oct | 237460544 |
9 | 86645384 |
10 | 41836900 |
11 | 21685756 |
12 | 12017204 |
13 | 888a981 |
14 | 57b0980 |
15 | 3a161ba |
hex | 27e6164 |
41836900 has 72 divisors (see below), whose sum is σ = 105618240. Its totient is φ = 14087040.
The previous prime is 41836891. The next prime is 41836903. The reversal of 41836900 is 963814.
41836900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×418369002 = 3500652403220000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (41836903) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40794 + ... + 41806.
It is an arithmetic number, because the mean of its divisors is an integer number (1466920).
Almost surely, 241836900 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 41836900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52809120).
41836900 is an abundant number, since it is smaller than the sum of its proper divisors (63781340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41836900 is a wasteful number, since it uses less digits than its factorization.
41836900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1093 (or 1086 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 31.
The square root of 41836900 is about 6468.1450200193. The cubic root of 41836900 is about 347.1521284526.
The spelling of 41836900 in words is "forty-one million, eight hundred thirty-six thousand, nine hundred".
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