Search a number
-
+
8249393216 = 26593975503
BaseRepresentation
bin1111010111011001…
…11100000001000000
3210021220200121002002
413223230330001000
5113343321040331
63442325043132
7411266454041
oct75354740100
923256617062
108249393216
113553627249
1217228564a8
13a1610257c
145838668c8
1533435e9cb
hex1ebb3c040

8249393216 has 56 divisors (see below), whose sum is σ = 16692311040. Its totient is φ = 4043837952.

The previous prime is 8249393209. The next prime is 8249393239. The reversal of 8249393216 is 6123939428.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1496321 + ... + 1501823.

Almost surely, 28249393216 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 8249393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346155520).

8249393216 is an abundant number, since it is smaller than the sum of its proper divisors (8442917824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8249393216 is a wasteful number, since it uses less digits than its factorization.

8249393216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971 (or 5961 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The square root of 8249393216 is about 90826.1703255180. The cubic root of 8249393216 is about 2020.5704705150.

The spelling of 8249393216 in words is "eight billion, two hundred forty-nine million, three hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 59 64 118 236 397 472 794 944 1588 1888 3176 3776 5503 6352 11006 12704 22012 23423 25408 44024 46846 88048 93692 176096 187384 324677 352192 374768 649354 749536 1298708 1499072 2184691 2597416 4369382 5194832 8738764 10389664 17477528 20779328 34955056 69910112 128896769 139820224 257793538 515587076 1031174152 2062348304 4124696608 8249393216