Base | Representation |
---|---|
bin | 1011010110100… |
… | …1001100000000 |
3 | 10022121011221000 |
4 | 2311221030000 |
5 | 44142214033 |
6 | 4420332000 |
7 | 1115510253 |
oct | 265511400 |
9 | 108534830 |
10 | 47616768 |
11 | 24973201 |
12 | 13b44000 |
13 | 9b32704 |
14 | 647709a |
15 | 42a8a13 |
hex | 2d69300 |
47616768 has 108 divisors (see below), whose sum is σ = 142528120. Its totient is φ = 15681024.
The previous prime is 47616763. The next prime is 47616773. The reversal of 47616768 is 86761674.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (47616763) and next prime (47616773).
It is a tau number, because it is divible by the number of its divisors (108).
It is not an unprimeable number, because it can be changed into a prime (47616763) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573655 + ... + 573737.
Almost surely, 247616768 is an apocalyptic number.
47616768 is a gapful number since it is divisible by the number (48) 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 47616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71264060).
47616768 is an abundant number, since it is smaller than the sum of its proper divisors (94911352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47616768 is an frugal number, since it uses more digits than its factorization.
47616768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 191 (or 88 counting only the distinct ones).
The product of its digits is 338688, while the sum is 45.
The square root of 47616768 is about 6900.4904173544. The cubic root of 47616768 is about 362.4543403450.
Multiplying 47616768 by its product of digits (338688), we get a square (16127227920384 = 40158722).
It can be divided in two parts, 47616 and 768, that added together give a palindrome (48384).
The spelling of 47616768 in words is "forty-seven million, six hundred sixteen thousand, seven hundred sixty-eight".
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