Base | Representation |
---|---|
bin | 1011010110000… |
… | …0001110111010 |
3 | 10022112022121120 |
4 | 2311200032322 |
5 | 44140030330 |
6 | 4415450110 |
7 | 1115265315 |
oct | 265401672 |
9 | 108468546 |
10 | 47580090 |
11 | 24948698 |
12 | 13b26936 |
13 | 9b1bacc |
14 | 646797c |
15 | 429cc10 |
hex | 2d603ba |
47580090 has 64 divisors (see below), whose sum is σ = 118444032. Its totient is φ = 12224000.
The previous prime is 47580083. The next prime is 47580101. The reversal of 47580090 is 9008574.
47580090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 31 ways as a sum of consecutive naturals, for example, 124039 + ... + 124421.
It is an arithmetic number, because the mean of its divisors is an integer number (1850688).
Almost surely, 247580090 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47580090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59222016).
47580090 is an abundant number, since it is smaller than the sum of its proper divisors (70863942).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47580090 is a wasteful number, since it uses less digits than its factorization.
47580090 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 535.
The product of its (nonzero) digits is 10080, while the sum is 33.
The square root of 47580090 is about 6897.8322681840. The cubic root of 47580090 is about 362.3612532828.
The spelling of 47580090 in words is "forty-seven million, five hundred eighty thousand, ninety".
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