Base | Representation |
---|---|
bin | 1010111111111… |
… | …0010010000000 |
3 | 10012210122212210 |
4 | 2233332102000 |
5 | 43302132204 |
6 | 4324422120 |
7 | 1100046453 |
oct | 257762200 |
9 | 105718783 |
10 | 46130304 |
11 | 24048420 |
12 | 13547940 |
13 | 9731c4c |
14 | 61ab49a |
15 | 40b3389 |
hex | 2bfe480 |
46130304 has 128 divisors (see below), whose sum is σ = 136500480. Its totient is φ = 13685760.
The previous prime is 46130291. The next prime is 46130311. The reversal of 46130304 is 40303164.
46130304 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 (128).
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 282927 + ... + 283089.
It is an arithmetic number, because the mean of its divisors is an integer number (1066410).
Almost surely, 246130304 is an apocalyptic number.
46130304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 46130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68250240).
46130304 is an abundant number, since it is smaller than the sum of its proper divisors (90370176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46130304 is a wasteful number, since it uses less digits than its factorization.
46130304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 258 (or 246 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 21.
The square root of 46130304 is about 6791.9293282542. The cubic root of 46130304 is about 358.6427909524.
Adding to 46130304 its reverse (40303164), we get a palindrome (86433468).
The spelling of 46130304 in words is "forty-six million, one hundred thirty thousand, three hundred four".
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