Base | Representation |
---|---|
bin | 1101111100011… |
… | …1110010000000 |
3 | 11002001121011201 |
4 | 3133013302000 |
5 | 104433134414 |
6 | 5445350544 |
7 | 1310104510 |
oct | 337076200 |
9 | 132047151 |
10 | 58489984 |
11 | 3001a433 |
12 | 17708454 |
13 | c16b877 |
14 | 7aa7840 |
15 | 5205574 |
hex | 37c7c80 |
58489984 has 64 divisors (see below), whose sum is σ = 137822400. Its totient is φ = 24192000.
The previous prime is 58489967. The next prime is 58489993. The reversal of 58489984 is 48998485.
58489984 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 (64).
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, 24859 + ... + 27109.
It is an arithmetic number, because the mean of its divisors is an integer number (2153475).
Almost surely, 258489984 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 58489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68911200).
58489984 is an abundant number, since it is smaller than the sum of its proper divisors (79332416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58489984 is a wasteful number, since it uses less digits than its factorization.
58489984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2301 (or 2289 counting only the distinct ones).
The product of its digits is 3317760, while the sum is 55.
The square root of 58489984 is about 7647.8744759574. The cubic root of 58489984 is about 388.1746477011.
The spelling of 58489984 in words is "fifty-eight million, four hundred eighty-nine thousand, nine hundred eighty-four".
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