Base | Representation |
---|---|
bin | 1001000011111011… |
… | …00101011111010000 |
3 | 110120000220101211102 |
4 | 10201331211133100 |
5 | 34430334303020 |
6 | 2122420403532 |
7 | 231360530030 |
oct | 44175453720 |
9 | 13500811742 |
10 | 4864759760 |
11 | 2077037013 |
12 | b392465a8 |
13 | 5c6b29b93 |
14 | 3421398c0 |
15 | 1d7140475 |
hex | 121f657d0 |
4864759760 has 160 divisors (see below), whose sum is σ = 13391142912. Its totient is φ = 1609021440.
The previous prime is 4864759759. The next prime is 4864759777. The reversal of 4864759760 is 679574684.
Together with 8526383151 it forms a betrothed pair.
It is a Harshad number since it is a multiple of its sum of digits (56).
It is a junction number, because it is equal to n+sod(n) for n = 4864759696 and 4864759705.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1809137 + ... + 1811823.
Almost surely, 24864759760 is an apocalyptic number.
4864759760 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 4864759760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695571456).
4864759760 is an abundant number, since it is smaller than the sum of its proper divisors (8526383152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4864759760 is a wasteful number, since it uses less digits than its factorization.
4864759760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2821 (or 2815 counting only the distinct ones).
The product of its (nonzero) digits is 10160640, while the sum is 56.
The square root of 4864759760 is about 69747.8297870263. The cubic root of 4864759760 is about 1694.4176475665.
The spelling of 4864759760 in words is "four billion, eight hundred sixty-four million, seven hundred fifty-nine thousand, seven hundred sixty".
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