Search a number
-
+
793649664 = 29356379
BaseRepresentation
bin101111010011100…
…010001000000000
32001022101120200000
4233103202020000
53111133242124
6210430400000
725444624263
oct5723421000
92038346600
10793649664
11377aa3815
121a1960000
13c856b5b2
1477594cda
1549a206c9
hex2f4e2200

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".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6379 6912 7776 10368 12758 13824 15552 19137 20736 25516 31104 38274 41472 51032 57411 62208 76548 102064 114822 124416 153096 172233 204128 229644 306192 344466 408256 459288 516699 612384 688932 816512 918576 1033398 1224768 1377864 1550097 1633024 1837152 2066796 2449536 2755728 3100194 3266048 3674304 4133592 4899072 5511456 6200388 7348608 8267184 9798144 11022912 12400776 14697216 16534368 22045824 24801552 29394432 33068736 44091648 49603104 66137472 88183296 99206208 132274944 198412416 264549888 396824832 793649664