Base | Representation |
---|---|
bin | 1011000000001… |
… | …0110000001000 |
3 | 10012211121000000 |
4 | 2300002300020 |
5 | 43303223431 |
6 | 4325043000 |
7 | 1100154033 |
oct | 260026010 |
9 | 105747000 |
10 | 46148616 |
11 | 24060158 |
12 | 13556460 |
13 | 973a397 |
14 | 61b401a |
15 | 40b89e6 |
hex | 2c02c08 |
46148616 has 112 divisors (see below), whose sum is σ = 133586460. Its totient is φ = 14929920.
The previous prime is 46148611. The next prime is 46148621. The reversal of 46148616 is 61684164.
It is an interprime number because it is at equal distance from previous prime (46148611) and next prime (46148621).
It can be written as a sum of positive squares in 2 ways, for example, as 38564100 + 7584516 = 6210^2 + 2754^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
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 (46148611) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 239016 + ... + 239208.
Almost surely, 246148616 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 46148616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66793230).
46148616 is an abundant number, since it is smaller than the sum of its proper divisors (87437844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46148616 is a wasteful number, since it uses less digits than its factorization.
46148616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 258 (or 239 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 46148616 is about 6793.2772650614. The cubic root of 46148616 is about 358.6902405853.
It can be divided in two parts, 46148 and 616, that added together give a palindrome (46764).
The spelling of 46148616 in words is "forty-six million, one hundred forty-eight thousand, six hundred sixteen".
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