Base | Representation |
---|---|
bin | 1011000001010… |
… | …1010000111100 |
3 | 10012222110000110 |
4 | 2300111100330 |
5 | 43313140234 |
6 | 4330430020 |
7 | 1100621100 |
oct | 260252074 |
9 | 105873013 |
10 | 46224444 |
11 | 24102122 |
12 | 13592310 |
13 | 9765a56 |
14 | 61d3900 |
15 | 40d11e9 |
hex | 2c1543c |
46224444 has 72 divisors (see below), whose sum is σ = 126658560. Its totient is φ = 13081824.
The previous prime is 46224413. The next prime is 46224449. The reversal of 46224444 is 44442264.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46224449) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74367 + ... + 74985.
Almost surely, 246224444 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 46224444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63329280).
46224444 is an abundant number, since it is smaller than the sum of its proper divisors (80434116).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46224444 is a wasteful number, since it uses less digits than its factorization.
46224444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 767 (or 758 counting only the distinct ones).
The product of its digits is 24576, while the sum is 30.
The square root of 46224444 is about 6798.8560802535. The cubic root of 46224444 is about 358.8865908590.
It can be divided in two parts, 462 and 24444, that multiplied together give a triangular number (11293128 = T4752).
The spelling of 46224444 in words is "forty-six million, two hundred twenty-four thousand, four hundred forty-four".
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