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797496864 = 253591031367
BaseRepresentation
bin101111100010001…
…101011000100000
32001120122001000220
4233202031120200
53113124344424
6211045043040
725522416513
oct5742153040
92046561026
10797496864
1137a19121a
121a30b6480
13c92b7748
1477cb6d7a
154a030579
hex2f88d620

797496864 has 96 divisors (see below), whose sum is σ = 2151152640. Its totient is φ = 258600192.

The previous prime is 797496841. The next prime is 797496907. The reversal of 797496864 is 468694797.

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

It is a junction number, because it is equal to n+sod(n) for n = 797496798 and 797496807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582709 + ... + 584075.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 2797496864 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 797496864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

797496864 is an abundant number, since it is smaller than the sum of its proper divisors (1353655776).

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

797496864 is a wasteful number, since it uses less digits than its factorization.

797496864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1534 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The square root of 797496864 is about 28239.9869688355. The cubic root of 797496864 is about 927.3485444701.

The spelling of 797496864 in words is "seven hundred ninety-seven million, four hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 103 118 177 206 236 309 354 412 472 618 708 824 944 1236 1367 1416 1648 1888 2472 2734 2832 3296 4101 4944 5468 5664 6077 8202 9888 10936 12154 16404 18231 21872 24308 32808 36462 43744 48616 65616 72924 80653 97232 131232 140801 145848 161306 194464 241959 281602 291696 322612 422403 483918 563204 583392 645224 844806 967836 1126408 1290448 1689612 1935672 2252816 2580896 3379224 3871344 4505632 6758448 7742688 8307259 13516896 16614518 24921777 33229036 49843554 66458072 99687108 132916144 199374216 265832288 398748432 797496864