Base | Representation |
---|---|
bin | 1101110101001… |
… | …0100000000000 |
3 | 11001011012012201 |
4 | 3131102200000 |
5 | 104322301400 |
6 | 5431202544 |
7 | 1303034125 |
oct | 335224000 |
9 | 131135181 |
10 | 58009600 |
11 | 2a821520 |
12 | 17516454 |
13 | c03100c |
14 | 79c074c |
15 | 515d06a |
hex | 3752800 |
58009600 has 144 divisors (see below), whose sum is σ = 158427360. Its totient is φ = 20889600.
The previous prime is 58009579. The next prime is 58009619. The reversal of 58009600 is 690085.
It is a super-2 number, since 2×580096002 = 6730227384320000, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563149 + ... + 563251.
It is an arithmetic number, because the mean of its divisors is an integer number (1100190).
Almost surely, 258009600 is an apocalyptic number.
58009600 is a gapful number since it is divisible by the number (50) 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 58009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213680).
58009600 is an abundant number, since it is smaller than the sum of its proper divisors (100417760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58009600 is a wasteful number, since it uses less digits than its factorization.
58009600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 121 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 28.
The square root of 58009600 is about 7616.4033506636. The cubic root of 58009600 is about 387.1090194454.
Adding to 58009600 its reverse (690085), we get a palindrome (58699685).
It can be divided in two parts, 5800 and 9600, that added together give a triangular number (15400 = T175).
The spelling of 58009600 in words is "fifty-eight million, nine thousand, six hundred".
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