Base | Representation |
---|---|
bin | 1110000001010… |
… | …0011100100000 |
3 | 11002122112220221 |
4 | 3200110130200 |
5 | 110023212000 |
6 | 5500212424 |
7 | 1312553143 |
oct | 340243440 |
9 | 132575827 |
10 | 58804000 |
11 | 30214352 |
12 | 1783a114 |
13 | c24b788 |
14 | 7b4a05a |
15 | 526861a |
hex | 3814720 |
58804000 has 96 divisors (see below), whose sum is σ = 147459312. Its totient is φ = 23040000.
The previous prime is 58803973. The next prime is 58804001. The reversal of 58804000 is 40885.
It can be written as a sum of positive squares in 8 ways, for example, as 5776 + 58798224 = 76^2 + 7668^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (58804001) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243880 + ... + 244120.
Almost surely, 258804000 is an apocalyptic number.
58804000 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 58804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73729656).
58804000 is an abundant number, since it is smaller than the sum of its proper divisors (88655312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58804000 is a wasteful number, since it uses less digits than its factorization.
58804000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 327 (or 309 counting only the distinct ones).
The product of its (nonzero) digits is 1280, while the sum is 25.
The square root of 58804000 is about 7668.3766209022. The cubic root of 58804000 is about 388.8680744718.
Adding to 58804000 its reverse (40885), we get a palindrome (58844885).
The spelling of 58804000 in words is "fifty-eight million, eight hundred four thousand".
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