Base | Representation |
---|---|
bin | 1011000100111… |
… | …1100110101000 |
3 | 10020102120210200 |
4 | 2301033212220 |
5 | 43343312100 |
6 | 4335512200 |
7 | 1102634544 |
oct | 261174650 |
9 | 106376720 |
10 | 46463400 |
11 | 24255705 |
12 | 13688660 |
13 | 981a749 |
14 | 6256a24 |
15 | 412be00 |
hex | 2c4f9a8 |
46463400 has 144 divisors (see below), whose sum is σ = 158427360. Its totient is φ = 12201600.
The previous prime is 46463393. The next prime is 46463407. The reversal of 46463400 is 436464.
It is a happy number.
46463400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (46463393) and next prime (46463407).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46463407) 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 35 ways as a sum of consecutive naturals, for example, 149245 + ... + 149555.
It is an arithmetic number, because the mean of its divisors is an integer number (1100190).
Almost surely, 246463400 is an apocalyptic number.
46463400 is a gapful number since it is divisible by the number (40) 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 46463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213680).
46463400 is an abundant number, since it is smaller than the sum of its proper divisors (111963960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46463400 is a wasteful number, since it uses less digits than its factorization.
46463400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 416 (or 404 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
The square root of 46463400 is about 6816.4066780086. The cubic root of 46463400 is about 359.5039464181.
Adding to 46463400 its reverse (436464), we get a palindrome (46899864).
The spelling of 46463400 in words is "forty-six million, four hundred sixty-three thousand, four hundred".
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