| Base | Representation |
|---|---|
| bin | 1011010010010… |
| … | …0010000000000 |
| 3 | 10022001211120221 |
| 4 | 2310210100000 |
| 5 | 44104200100 |
| 6 | 4410312424 |
| 7 | 1113223111 |
| oct | 264442000 |
| 9 | 108054527 |
| 10 | 47334400 |
| 11 | 247a0043 |
| 12 | 13a28714 |
| 13 | 9a64029 |
| 14 | 6402208 |
| 15 | 425001a |
| hex | 2d24400 |
47334400 has 99 divisors (see below), whose sum is σ = 120124101. Its totient is φ = 18493440.
The previous prime is 47334379. The next prime is 47334407. The reversal of 47334400 is 443374.
The square root of 47334400 is 6880.
It is a perfect power (a square), and thus also a powerful number.
47334400 is nontrivially palindromic in base 7.
It can be written as a sum of positive squares in only one way, i.e., 17040384 + 30294016 = 4128^2 + 5504^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (47334407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1100779 + ... + 1100821.
Almost surely, 247334400 is an apocalyptic number.
47334400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
47334400 is the 6880-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47334400
47334400 is an abundant number, since it is smaller than the sum of its proper divisors (72789701).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47334400 is an equidigital number, since it uses as much as digits as its factorization.
47334400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116 (or 50 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 25.
The cubic root of 47334400 is about 361.7364666213.
Multiplying 47334400 by its sum of digits (25), we get a square (1183360000 = 344002).
47334400 divided by its sum of digits (25) gives a square (1893376 = 13762).
Adding to 47334400 its reverse (443374), we get a palindrome (47777774).
The spelling of 47334400 in words is "forty-seven million, three hundred thirty-four thousand, four hundred".
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