Base | Representation |
---|---|
bin | 1011001101110… |
… | …0011000000000 |
3 | 10021111212202020 |
4 | 2303130120000 |
5 | 44020240000 |
6 | 4400121440 |
7 | 1110555600 |
oct | 263343000 |
9 | 107455666 |
10 | 47040000 |
11 | 24609937 |
12 | 13906280 |
13 | 9990027 |
14 | 6366c00 |
15 | 41e2ba0 |
hex | 2cdc600 |
47040000 has 300 divisors, whose sum is σ = 182163564. Its totient is φ = 10752000.
The previous prime is 47039999. The next prime is 47040011. The reversal of 47040000 is 4074.
It is a tau number, because it is divible by the number of its divisors (300).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6719997 + ... + 6720003.
Almost surely, 247040000 is an apocalyptic number.
47040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91081782).
47040000 is an abundant number, since it is smaller than the sum of its proper divisors (135123564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47040000 is an frugal number, since it uses more digits than its factorization.
47040000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 55 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 112, while the sum is 15.
The square root of 47040000 is about 6858.5712797929. The cubic root of 47040000 is about 360.9849570290.
Adding to 47040000 its reverse (4074), we get a palindrome (47044074).
It can be divided in two parts, 470 and 40000, that added together give a triangular number (40470 = T284).
The spelling of 47040000 in words is "forty-seven million, forty thousand".
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