Base | Representation |
---|---|
bin | 1010111110100… |
… | …1110001100000 |
3 | 10012122101122200 |
4 | 2233221301200 |
5 | 43241440204 |
6 | 4322533200 |
7 | 1066246533 |
oct | 257516140 |
9 | 105571580 |
10 | 46046304 |
11 | 23aa02a7 |
12 | 13507200 |
13 | 9702945 |
14 | 6188a1a |
15 | 4098539 |
hex | 2be9c60 |
46046304 has 72 divisors (see below), whose sum is σ = 132324192. Its totient is φ = 15187200.
The previous prime is 46046281. The next prime is 46046309. The reversal of 46046304 is 40364064.
It is a happy number.
46046304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×460463042 = 4240524224120832, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46046309) 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 11 ways as a sum of consecutive naturals, for example, 28297 + ... + 29879.
It is an arithmetic number, because the mean of its divisors is an integer number (1837836).
Almost surely, 246046304 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 46046304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66162096).
46046304 is an abundant number, since it is smaller than the sum of its proper divisors (86277888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46046304 is a wasteful number, since it uses less digits than its factorization.
46046304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1700 (or 1689 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
The square root of 46046304 is about 6785.7427006924. The cubic root of 46046304 is about 358.4249710227.
It can be divided in two parts, 460 and 46304, that added together give a palindrome (46764).
The spelling of 46046304 in words is "forty-six million, forty-six thousand, three hundred four".
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