Base | Representation |
---|---|
bin | 101111010011100… |
… | …010001000000000 |
3 | 2001022101120200000 |
4 | 233103202020000 |
5 | 3111133242124 |
6 | 210430400000 |
7 | 25444624263 |
oct | 5723421000 |
9 | 2038346600 |
10 | 793649664 |
11 | 377aa3815 |
12 | 1a1960000 |
13 | c856b5b2 |
14 | 77594cda |
15 | 49a206c9 |
hex | 2f4e2200 |
793649664 has 120 divisors (see below), whose sum is σ = 2375733360. Its totient is φ = 264508416.
The previous prime is 793649657. The next prime is 793649671. The reversal of 793649664 is 466946397.
793649664 is a `hidden beast` number, since 7 + 93 + 6 + 496 + 64 = 666.
It is an interprime number because it is at equal distance from previous prime (793649657) and next prime (793649671).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 793649664.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121227 + ... + 127605.
It is an arithmetic number, because the mean of its divisors is an integer number (19797778).
Almost surely, 2793649664 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 793649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187866680).
793649664 is an abundant number, since it is smaller than the sum of its proper divisors (1582083696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
793649664 is an frugal number, since it uses more digits than its factorization.
793649664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6412 (or 6384 counting only the distinct ones).
The product of its digits is 5878656, while the sum is 54.
The square root of 793649664 is about 28171.7884416308. The cubic root of 793649664 is about 925.8549345377.
It can be divided in two parts, 7936 and 49664, that added together give a square (57600 = 2402).
The spelling of 793649664 in words is "seven hundred ninety-three million, six hundred forty-nine thousand, six hundred sixty-four".
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