Base | Representation |
---|---|
bin | 1011001001100… |
… | …1111110100000 |
3 | 10021000001200100 |
4 | 2302121332200 |
5 | 43433034112 |
6 | 4350222400 |
7 | 1105343643 |
oct | 262317640 |
9 | 107001610 |
10 | 46768032 |
11 | 24443573 |
12 | 137b4a00 |
13 | 98c62bc |
14 | 62d5a5a |
15 | 418c2dc |
hex | 2c99fa0 |
46768032 has 36 divisors (see below), whose sum is σ = 132997410. Its totient is φ = 15589248.
The previous prime is 46768031. The next prime is 46768049. The reversal of 46768032 is 23086764.
46768032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 42458256 + 4309776 = 6516^2 + 2076^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (46768031) 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 5 ways as a sum of consecutive naturals, for example, 80907 + ... + 81482.
Almost surely, 246768032 is an apocalyptic number.
It is an amenable number.
46768032 is an abundant number, since it is smaller than the sum of its proper divisors (86229378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46768032 is a wasteful number, since it uses less digits than its factorization.
46768032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162405 (or 162394 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 46768032 is about 6838.7156688957. The cubic root of 46768032 is about 360.2879178182.
The spelling of 46768032 in words is "forty-six million, seven hundred sixty-eight thousand, thirty-two".
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