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797916960 = 25335184703
BaseRepresentation
bin101111100011110…
…011111100100000
32001121102101022000
4233203303330200
53113231320320
6211102044000
725526116341
oct5743637440
92047371260
10797916960
1137a448905
121a3279600
13c9403a19
1477d860c8
154a0b4c90
hex2f8f3f20

797916960 has 96 divisors (see below), whose sum is σ = 2792724480. Its totient is φ = 212776704.

The previous prime is 797916941. The next prime is 797916983. The reversal of 797916960 is 69619797.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 797916897 and 797916906.

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 15 ways as a sum of consecutive naturals, for example, 88032 + ... + 96671.

It is an arithmetic number, because the mean of its divisors is an integer number (29090880).

Almost surely, 2797916960 is an apocalyptic number.

It is an amenable number.

797916960 is an abundant number, since it is smaller than the sum of its proper divisors (1994807520).

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

797916960 is a wasteful number, since it uses less digits than its factorization.

797916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184727 (or 184713 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 797916960 is about 28247.4239533448. The cubic root of 797916960 is about 927.5113484661.

The spelling of 797916960 in words is "seven hundred ninety-seven million, nine hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 184703 369406 554109 738812 923515 1108218 1477624 1662327 1847030 2216436 2770545 2955248 3324654 3694060 4432872 4986981 5541090 5910496 6649308 7388120 8311635 8865744 9973962 11082180 13298616 14776240 16623270 17731488 19947924 22164360 24934905 26597232 29552480 33246540 39895848 44328720 49869810 53194464 66493080 79791696 88657440 99739620 132986160 159583392 199479240 265972320 398958480 797916960