Base | Representation |
---|---|
bin | 1011000100101… |
… | …1101101101000 |
3 | 10020101202221110 |
4 | 2301023231220 |
5 | 43342304324 |
6 | 4335310320 |
7 | 1102540230 |
oct | 261135550 |
9 | 106352843 |
10 | 46447464 |
11 | 24244738 |
12 | 1367b3a0 |
13 | 981340b |
14 | 6250cc0 |
15 | 4127329 |
hex | 2c4bb68 |
46447464 has 64 divisors (see below), whose sum is σ = 134346240. Its totient is φ = 13106880.
The previous prime is 46447463. The next prime is 46447481. The reversal of 46447464 is 46474464.
46447464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (46447463) 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 15 ways as a sum of consecutive naturals, for example, 12279 + ... + 15609.
It is an arithmetic number, because the mean of its divisors is an integer number (2099160).
Almost surely, 246447464 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 46447464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67173120).
46447464 is an abundant number, since it is smaller than the sum of its proper divisors (87898776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46447464 is a wasteful number, since it uses less digits than its factorization.
46447464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3430 (or 3426 counting only the distinct ones).
The product of its digits is 258048, while the sum is 39.
The square root of 46447464 is about 6815.2376334212. The cubic root of 46447464 is about 359.4628408742.
Subtracting 46447464 from its reverse (46474464), we obtain a cube (27000 = 303).
The spelling of 46447464 in words is "forty-six million, four hundred forty-seven thousand, four hundred sixty-four".
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