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797670216 = 233272311727
BaseRepresentation
bin101111100010110…
…111101101001000
32001120221211211100
4233202313231020
53113200421331
6211052501400
725524041100
oct5742675510
92046854740
10797670216
1137a29a492
121a317a860
13c9348615
1477d20200
154a066ae6
hex2f8b7b48

797670216 has 144 divisors (see below), whose sum is σ = 2524616640. Its totient is φ = 226860480.

The previous prime is 797670187. The next prime is 797670227. The reversal of 797670216 is 612076797.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1096845 + ... + 1097571.

It is an arithmetic number, because the mean of its divisors is an integer number (17532060).

Almost surely, 2797670216 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 797670216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262308320).

797670216 is an abundant number, since it is smaller than the sum of its proper divisors (1726946424).

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

797670216 is a wasteful number, since it uses less digits than its factorization.

797670216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 797670216 is about 28243.0560669344. The cubic root of 797670216 is about 927.4157322278.

The spelling of 797670216 in words is "seven hundred ninety-seven million, six hundred seventy thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 311 392 441 504 588 622 727 882 933 1176 1244 1454 1764 1866 2177 2181 2488 2799 2908 3528 3732 4354 4362 5089 5598 5816 6531 6543 7464 8708 8724 10178 11196 13062 13086 15239 15267 17416 17448 19593 20356 22392 26124 26172 30478 30534 35623 39186 40712 45717 45801 52248 52344 60956 61068 71246 78372 91434 91602 106869 121912 122136 137151 142492 156744 182868 183204 213738 226097 274302 284984 320607 365736 366408 427476 452194 548604 641214 678291 854952 904388 1097208 1282428 1356582 1582679 1808776 2034873 2564856 2713164 3165358 4069746 4748037 5426328 6330716 8139492 9496074 11078753 12661432 14244111 16278984 18992148 22157506 28488222 33236259 37984296 44315012 56976444 66472518 88630024 99708777 113952888 132945036 199417554 265890072 398835108 797670216