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796342272 = 21131111783
BaseRepresentation
bin101111011101110…
…011100000000000
32001111110101020020
4233131303200000
53112330423042
6211004213440
725506540405
oct5735634000
92044411206
10796342272
11379572810
121a283a280
13c8ca205b
1477a962ac
1549da33ec
hex2f773800

796342272 has 96 divisors (see below), whose sum is σ = 2316263040. Its totient is φ = 241295360.

The previous prime is 796342247. The next prime is 796342273. The reversal of 796342272 is 272243697.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7963422722 = 1268322028348243968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796342273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61693 + ... + 73475.

It is an arithmetic number, because the mean of its divisors is an integer number (24127740).

Almost surely, 2796342272 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 796342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158131520).

796342272 is an abundant number, since it is smaller than the sum of its proper divisors (1519920768).

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

796342272 is a wasteful number, since it uses less digits than its factorization.

796342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11819 (or 11799 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 796342272 is about 28219.5370621135. The cubic root of 796342272 is about 926.9007992025.

The spelling of 796342272 in words is "seven hundred ninety-six million, three hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 11264 11783 16896 22528 23566 33792 35349 47132 67584 70698 94264 129613 141396 188528 259226 282792 377056 388839 518452 565584 754112 777678 1036904 1131168 1508224 1555356 2073808 2262336 3016448 3110712 4147616 4524672 6032896 6221424 8295232 9049344 12065792 12442848 16590464 18098688 24131584 24885696 33180928 36197376 49771392 66361856 72394752 99542784 132723712 199085568 265447424 398171136 796342272