Base | Representation |
---|---|
bin | 1001110101111… |
… | …1010000110000 |
3 | 2212200110220100 |
4 | 2131133100300 |
5 | 41032102111 |
6 | 4032512400 |
7 | 1010625300 |
oct | 235372060 |
9 | 85613810 |
10 | 41284656 |
11 | 21338856 |
12 | 119ab700 |
13 | 87264ba |
14 | 56a9600 |
15 | 3957756 |
hex | 275f430 |
41284656 has 90 divisors (see below), whose sum is σ = 134426292. Its totient is φ = 11793600.
The previous prime is 41284651. The next prime is 41284657. The reversal of 41284656 is 65648214.
41284656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 41284656.
It is not an unprimeable number, because it can be changed into a prime (41284651) 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 17 ways as a sum of consecutive naturals, for example, 4131 + ... + 9981.
Almost surely, 241284656 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 41284656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67213146).
41284656 is an abundant number, since it is smaller than the sum of its proper divisors (93141636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41284656 is a wasteful number, since it uses less digits than its factorization.
41284656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5879 (or 5863 counting only the distinct ones).
The product of its digits is 46080, while the sum is 36.
The square root of 41284656 is about 6425.3136888404. The cubic root of 41284656 is about 345.6178970927.
The spelling of 41284656 in words is "forty-one million, two hundred eighty-four thousand, six hundred fifty-six".
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