Base | Representation |
---|---|
bin | 1011000110101… |
… | …0011001101100 |
3 | 10020122011101000 |
4 | 2301222121230 |
5 | 43410320124 |
6 | 4342120300 |
7 | 1103602551 |
oct | 261523154 |
9 | 106564330 |
10 | 46573164 |
11 | 24320120 |
12 | 13720090 |
13 | 98586b1 |
14 | 6284a28 |
15 | 414e6c9 |
hex | 2c6a66c |
46573164 has 96 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 13970880.
The previous prime is 46573151. The next prime is 46573169. The reversal of 46573164 is 46137564.
It is a happy number.
46573164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (60480) is a multiple of the sum of its prime factors (420).
It is not an unprimeable number, because it can be changed into a prime (46573169) 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 31 ways as a sum of consecutive naturals, for example, 233937 + ... + 234135.
It is an arithmetic number, because the mean of its divisors is an integer number (1386000).
Almost surely, 246573164 is an apocalyptic number.
46573164 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 46573164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528000).
46573164 is an abundant number, since it is smaller than the sum of its proper divisors (86482836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46573164 is a wasteful number, since it uses less digits than its factorization.
46573164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 420 (or 412 counting only the distinct ones).
The product of its digits is 60480, while the sum is 36.
The square root of 46573164 is about 6824.4533847042. The cubic root of 46573164 is about 359.7868182292.
Subtracting from 46573164 its reverse (46137564), we obtain a square (435600 = 6602).
The spelling of 46573164 in words is "forty-six million, five hundred seventy-three thousand, one hundred sixty-four".
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