Base | Representation |
---|---|
bin | 1001110100000… |
… | …1100001010000 |
3 | 2212110021210100 |
4 | 2131001201100 |
5 | 41014202312 |
6 | 4030132400 |
7 | 1006610154 |
oct | 235014120 |
9 | 85407710 |
10 | 41162832 |
11 | 21265277 |
12 | 11951100 |
13 | 86b2c09 |
14 | 5677064 |
15 | 39315dc |
hex | 2741850 |
41162832 has 60 divisors (see below), whose sum is σ = 119183220. Its totient is φ = 13246464.
The previous prime is 41162827. The next prime is 41162837. The reversal of 41162832 is 23826114.
41162832 is a `hidden beast` number, since 4 + 1 + 1 + 628 + 32 = 666.
It is an interprime number because it is at equal distance from previous prime (41162827) and next prime (41162837).
It can be written as a sum of positive squares in 2 ways, for example, as 18352656 + 22810176 = 4284^2 + 4776^2 .
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 41162796 and 41162805.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41162837) 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, 753 + ... + 9104.
It is an arithmetic number, because the mean of its divisors is an integer number (1986387).
Almost surely, 241162832 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 41162832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59591610).
41162832 is an abundant number, since it is smaller than the sum of its proper divisors (78020388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41162832 is a wasteful number, since it uses less digits than its factorization.
41162832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9900 (or 9891 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 41162832 is about 6415.8266809508. The cubic root of 41162832 is about 345.2776089464.
Adding to 41162832 its reverse (23826114), we get a palindrome (64988946).
The spelling of 41162832 in words is "forty-one million, one hundred sixty-two thousand, eight hundred thirty-two".
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