Base | Representation |
---|---|
bin | 1011001101010… |
… | …0100000000000 |
3 | 10021110020111120 |
4 | 2303110200000 |
5 | 44013221434 |
6 | 4355312240 |
7 | 1110362550 |
oct | 263244000 |
9 | 107406446 |
10 | 47007744 |
11 | 24597683 |
12 | 138ab680 |
13 | 997b444 |
14 | 6359160 |
15 | 41d8349 |
hex | 2cd4800 |
47007744 has 96 divisors (see below), whose sum is σ = 143357760. Its totient is φ = 13418496.
The previous prime is 47007739. The next prime is 47007761. The reversal of 47007744 is 44770074.
It is a tau number, because it is divible by the number of its divisors (96).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42462 + ... + 43554.
It is an arithmetic number, because the mean of its divisors is an integer number (1493310).
Almost surely, 247007744 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 47007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71678880).
47007744 is an abundant number, since it is smaller than the sum of its proper divisors (96350016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47007744 is a wasteful number, since it uses less digits than its factorization.
47007744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1125 (or 1105 counting only the distinct ones).
The product of its (nonzero) digits is 21952, while the sum is 33.
The square root of 47007744 is about 6856.2193663855. The cubic root of 47007744 is about 360.9024273149.
Subtracting from 47007744 its reverse (44770074), we obtain a triangular number (2237670 = T2115).
The spelling of 47007744 in words is "forty-seven million, seven thousand, seven hundred forty-four".
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