| Base | Representation |
|---|---|
| bin | 1101111011001… |
| … | …0111000100000 |
| 3 | 11001220020202100 |
| 4 | 3132302320200 |
| 5 | 104422420014 |
| 6 | 5443450400 |
| 7 | 1306300113 |
| oct | 336627040 |
| 9 | 131806670 |
| 10 | 58404384 |
| 11 | 2aa71095 |
| 12 | 17686a00 |
| 13 | c13b90c |
| 14 | 7a8457a |
| 15 | 51da009 |
| hex | 37b2e20 |
58404384 has 144 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 17971200.
The previous prime is 58404371. The next prime is 58404391. The reversal of 58404384 is 48340485.
58404384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×584043842 = 6822144140838912, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 386709 + ... + 386859.
It is an arithmetic number, because the mean of its divisors is an integer number (1244880).
Almost surely, 258404384 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 58404384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).
58404384 is an abundant number, since it is smaller than the sum of its proper divisors (120858336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58404384 is a wasteful number, since it uses less digits than its factorization.
58404384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 263 (or 252 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
The square root of 58404384 is about 7642.2761007438. The cubic root of 58404384 is about 387.9851909181.
The spelling of 58404384 in words is "fifty-eight million, four hundred four thousand, three hundred eighty-four".
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