Base | Representation |
---|---|
bin | 1001110011101… |
… | …0000000000000 |
3 | 2212101201112121 |
4 | 2130322000000 |
5 | 41012211112 |
6 | 4025334024 |
7 | 1006421314 |
oct | 234720000 |
9 | 85351477 |
10 | 41132032 |
11 | 21244117 |
12 | 11937314 |
13 | 86a1ba6 |
14 | 5669b44 |
15 | 3927407 |
hex | 273a000 |
41132032 has 28 divisors (see below), whose sum is σ = 82275426. Its totient is φ = 20561920.
The previous prime is 41132023. The next prime is 41132033. The reversal of 41132032 is 23023114.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 26873856 + 14258176 = 5184^2 + 3776^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 41131997 and 41132015.
It is not an unprimeable number, because it can be changed into a prime (41132033) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5682 + ... + 10702.
Almost surely, 241132032 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 41132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41137713).
41132032 is an abundant number, since it is smaller than the sum of its proper divisors (41143394).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41132032 is an frugal number, since it uses more digits than its factorization.
41132032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5047 (or 5023 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 41132032 is about 6413.4259175576. The cubic root of 41132032 is about 345.1914697170.
41132032 divided by its sum of digits (16) gives a palindrome (2570752).
Adding to 41132032 its reverse (23023114), we get a palindrome (64155146).
The spelling of 41132032 in words is "forty-one million, one hundred thirty-two thousand, thirty-two".
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