Base | Representation |
---|---|
bin | 1011001000100… |
… | …11111001000000 |
3 | 20111202110012200 |
4 | 11210103321000 |
5 | 142402422421 |
6 | 13133553200 |
7 | 2212633005 |
oct | 544237100 |
9 | 214673180 |
10 | 93404736 |
11 | 487a73a7 |
12 | 27345800 |
13 | 16474899 |
14 | c5958ac |
15 | 8300726 |
hex | 5913e40 |
93404736 has 84 divisors (see below), whose sum is σ = 276417024. Its totient is φ = 30124800.
The previous prime is 93404711. The next prime is 93404743. The reversal of 93404736 is 63740439.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 93404736.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 15241 + ... + 20471.
Almost surely, 293404736 is an apocalyptic number.
93404736 is a gapful number since it is divisible by the number (96) 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 93404736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138208512).
93404736 is an abundant number, since it is smaller than the sum of its proper divisors (183012288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
93404736 is a wasteful number, since it uses less digits than its factorization.
93404736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5280 (or 5267 counting only the distinct ones).
The product of its (nonzero) digits is 54432, while the sum is 36.
The square root of 93404736 is about 9664.6125633675. The cubic root of 93404736 is about 453.7217854642.
It can be divided in two parts, 9 and 3404736, that added together give a triangular number (3404745 = T2609).
The spelling of 93404736 in words is "ninety-three million, four hundred four thousand, seven hundred thirty-six".
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