Base | Representation |
---|---|
bin | 1101110111101… |
… | …1010100000000 |
3 | 11001110200112010 |
4 | 3131323110000 |
5 | 104343124033 |
6 | 5434532520 |
7 | 1304331366 |
oct | 335732400 |
9 | 131420463 |
10 | 58176768 |
11 | 2a926081 |
12 | 17597140 |
13 | c08c130 |
14 | 7a25636 |
15 | 5192863 |
hex | 377b500 |
58176768 has 72 divisors (see below), whose sum is σ = 166774048. Its totient is φ = 17897472.
The previous prime is 58176751. The next prime is 58176779. The reversal of 58176768 is 86767185.
58176768 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 (48).
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 7071 + ... + 12897.
Almost surely, 258176768 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 58176768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83387024).
58176768 is an abundant number, since it is smaller than the sum of its proper divisors (108597280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58176768 is a wasteful number, since it uses less digits than its factorization.
58176768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5859 (or 5845 counting only the distinct ones).
The product of its digits is 564480, while the sum is 48.
The square root of 58176768 is about 7627.3696645698. The cubic root of 58176768 is about 387.4805107090.
The spelling of 58176768 in words is "fifty-eight million, one hundred seventy-six thousand, seven hundred sixty-eight".
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