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968404248 = 2334734357
BaseRepresentation
bin111001101110001…
…010110100011000
32111111020000220000
4321232022310120
53440402413443
6240032133000
732666205000
oct7156126430
92444200800
10968404248
11457703499
12230397160
13125826a86
1492885000
155a03e8d3
hex39b8ad18

968404248 has 160 divisors (see below), whose sum is σ = 3163908000. Its totient is φ = 276623424.

The previous prime is 968404207. The next prime is 968404321. The reversal of 968404248 is 842404869.

968404248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220086 + ... + 224442.

It is an arithmetic number, because the mean of its divisors is an integer number (19774425).

Almost surely, 2968404248 is an apocalyptic number.

968404248 is a gapful number since it is divisible by the number (98) 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 968404248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581954000).

968404248 is an abundant number, since it is smaller than the sum of its proper divisors (2195503752).

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

968404248 is a wasteful number, since it uses less digits than its factorization.

968404248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 968404248 is about 31119.1942055060. The cubic root of 968404248 is about 989.3551723750.

The spelling of 968404248 in words is "nine hundred sixty-eight million, four hundred four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 343 378 392 441 504 567 588 648 686 756 882 1029 1134 1176 1323 1372 1512 1764 2058 2268 2646 2744 3087 3528 3969 4116 4357 4536 5292 6174 7938 8232 8714 9261 10584 12348 13071 15876 17428 18522 24696 26142 27783 30499 31752 34856 37044 39213 52284 55566 60998 74088 78426 91497 104568 111132 117639 121996 156852 182994 213493 222264 235278 243992 274491 313704 352917 365988 426986 470556 548982 640479 705834 731976 823473 853972 941112 1097964 1280958 1411668 1494451 1646946 1707944 1921437 2195928 2470419 2561916 2823336 2988902 3293892 3842874 4483353 4940838 5123832 5764311 5977804 6587784 7685748 8966706 9881676 11528622 11955608 13450059 15371496 17292933 17933412 19763352 23057244 26900118 34585866 35866824 40350177 46114488 53800236 69171732 80700354 107600472 121050531 138343464 161400708 242101062 322801416 484202124 968404248