Base | Representation |
---|---|
bin | 1011000110001… |
… | …01100100000000 |
3 | 20111011011010000 |
4 | 11203011210000 |
5 | 142312141104 |
6 | 13123040000 |
7 | 2210125434 |
oct | 543054400 |
9 | 214134100 |
10 | 93083904 |
11 | 485a8351 |
12 | 27210000 |
13 | 16391844 |
14 | c5109c4 |
15 | 828a639 |
hex | 58c5900 |
93083904 has 135 divisors (see below), whose sum is σ = 281763867. Its totient is φ = 30564864.
The previous prime is 93083867. The next prime is 93083909. The reversal of 93083904 is 40938039.
The square root of 93083904 is 9648.
It is a perfect power (a square), and thus also a powerful number.
It is a super-2 number, since 2×930839042 = 17329226367762432, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (93083909) by changing a digit.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1389279 + ... + 1389345.
Almost surely, 293083904 is an apocalyptic number.
93083904 is the 9648-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 93083904
93083904 is an abundant number, since it is smaller than the sum of its proper divisors (188679963).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
93083904 is an frugal number, since it uses more digits than its factorization.
93083904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162 (or 72 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 36.
The cubic root of 93083904 is about 453.2016995745.
Multiplying 93083904 by its sum of digits (36), we get a square (3351020544 = 578882).
93083904 divided by its sum of digits (36) gives a square (2585664 = 16082).
The spelling of 93083904 in words is "ninety-three million, eighty-three thousand, nine hundred four".
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