Base | Representation |
---|---|
bin | 1011100001100… |
… | …1111010110000 |
3 | 10100221221220200 |
4 | 2320121322300 |
5 | 44333400111 |
6 | 4444035200 |
7 | 1124613600 |
oct | 270317260 |
9 | 110857820 |
10 | 48340656 |
11 | 25318061 |
12 | 14232b00 |
13 | a027050 |
14 | 65c4c00 |
15 | 439d256 |
hex | 2e19eb0 |
48340656 has 360 divisors, whose sum is σ = 185238144. Its totient is φ = 11612160.
The previous prime is 48340637. The next prime is 48340657. The reversal of 48340656 is 65604384.
48340656 = T455 + T456 + ... + T726.
48340656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 48340656.
It is not an unprimeable number, because it can be changed into a prime (48340657) 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 71 ways as a sum of consecutive naturals, for example, 1559361 + ... + 1559391.
Almost surely, 248340656 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 48340656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).
48340656 is an abundant number, since it is smaller than the sum of its proper divisors (136897488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48340656 is a wasteful number, since it uses less digits than its factorization.
48340656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 89 (or 73 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 48340656 is about 6952.7444940829. The cubic root of 48340656 is about 364.2818330119.
The spelling of 48340656 in words is "forty-eight million, three hundred forty thousand, six hundred fifty-six".
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