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791017216 = 28112571093
BaseRepresentation
bin101111001001011…
…111011100000000
32001010102211121221
4233021133130000
53110000022331
6210254124424
725413351433
oct5711373400
92033384557
10791017216
11376565a40
121a0ab0714
13c7b59332
14770ab81a
15496a0711
hex2f25f700

791017216 has 72 divisors (see below), whose sum is σ = 1730769264. Its totient is φ = 357826560.

The previous prime is 791017193. The next prime is 791017217. The reversal of 791017216 is 612710197.

791017216 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 not an unprimeable number, because it can be changed into a prime (791017217) 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, 723166 + ... + 724258.

It is an arithmetic number, because the mean of its divisors is an integer number (24038462).

Almost surely, 2791017216 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 791017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865384632).

791017216 is an abundant number, since it is smaller than the sum of its proper divisors (939752048).

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

791017216 is a wasteful number, since it uses less digits than its factorization.

791017216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 34.

The square root of 791017216 is about 28125.0282844302. The cubic root of 791017216 is about 924.8301479219.

The spelling of 791017216 in words is "seven hundred ninety-one million, seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 257 352 514 704 1028 1093 1408 2056 2186 2816 2827 4112 4372 5654 8224 8744 11308 12023 16448 17488 22616 24046 32896 34976 45232 48092 65792 69952 90464 96184 139904 180928 192368 279808 280901 361856 384736 561802 723712 769472 1123604 1538944 2247208 3077888 3089911 4494416 6179822 8988832 12359644 17977664 24719288 35955328 49438576 71910656 98877152 197754304 395508608 791017216