Base | Representation |
---|---|
bin | 1011001101111… |
… | …1111000000000 |
3 | 10021112121102012 |
4 | 2303133320000 |
5 | 44021214321 |
6 | 4400312052 |
7 | 1110645440 |
oct | 263377000 |
9 | 107477365 |
10 | 47054336 |
11 | 2461968a |
12 | 13912628 |
13 | 9996704 |
14 | 636c120 |
15 | 41e705b |
hex | 2cdfe00 |
47054336 has 80 divisors (see below), whose sum is σ = 113266560. Its totient is φ = 19077120.
The previous prime is 47054309. The next prime is 47054339. The reversal of 47054336 is 63345074.
47054336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×470543362 = 4428221072801792, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47054339) 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, 67751 + ... + 68441.
It is an arithmetic number, because the mean of its divisors is an integer number (1415832).
Almost surely, 247054336 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 47054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56633280).
47054336 is an abundant number, since it is smaller than the sum of its proper divisors (66212224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47054336 is an equidigital number, since it uses as much as digits as its factorization.
47054336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 735 (or 719 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 32.
The square root of 47054336 is about 6859.6163158008. The cubic root of 47054336 is about 361.0216247920.
It can be divided in two parts, 4 and 7054336, that multiplied together give a square (28217344 = 53122).
The spelling of 47054336 in words is "forty-seven million, fifty-four thousand, three hundred thirty-six".
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