Base | Representation |
---|---|
bin | 1011001101110… |
… | …1101100010000 |
3 | 10021112011010221 |
4 | 2303131230100 |
5 | 44020423032 |
6 | 4400202424 |
7 | 1110610402 |
oct | 263355420 |
9 | 107464127 |
10 | 47045392 |
11 | 24612999 |
12 | 13909414 |
13 | 9992614 |
14 | 6368b72 |
15 | 41e4597 |
hex | 2cddb10 |
47045392 has 40 divisors (see below), whose sum is σ = 97031736. Its totient is φ = 22020096.
The previous prime is 47045377. The next prime is 47045399. The reversal of 47045392 is 29354074.
47045392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 23386896 + 23658496 = 4836^2 + 4864^2 .
It is a Harshad number since it is a multiple of its sum of digits (34).
It is not an unprimeable number, because it can be changed into a prime (47045399) by changing a digit.
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, 69568 + ... + 70240.
Almost surely, 247045392 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 47045392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48515868).
47045392 is an abundant number, since it is smaller than the sum of its proper divisors (49986344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47045392 is a wasteful number, since it uses less digits than its factorization.
47045392 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 955 (or 949 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 34.
The square root of 47045392 is about 6858.9643533117. The cubic root of 47045392 is about 360.9987492379.
The spelling of 47045392 in words is "forty-seven million, forty-five thousand, three hundred ninety-two".
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