Search a number
-
+
797109984 = 2535119319
BaseRepresentation
bin101111100000101…
…110111011100000
32001112220101100000
4233200232323200
53113030004414
6211032500000
725516215546
oct5740567340
92045811300
10797109984
11379a47590
121a2b4a600
13c91b0618
1477c15d96
1549ea5b09
hex2f82eee0

797109984 has 144 divisors (see below), whose sum is σ = 2564714880. Its totient is φ = 241522560.

The previous prime is 797109967. The next prime is 797110043. The reversal of 797109984 is 489901797.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 797109984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80877 + ... + 90195.

It is an arithmetic number, because the mean of its divisors is an integer number (17810520).

Almost surely, 2797109984 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 797109984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282357440).

797109984 is an abundant number, since it is smaller than the sum of its proper divisors (1767604896).

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

797109984 is a wasteful number, since it uses less digits than its factorization.

797109984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9355 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 797109984 is about 28233.1362763686. The cubic root of 797109984 is about 927.1985624232.

The spelling of 797109984 in words is "seven hundred ninety-seven million, one hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 3168 3564 3888 4752 5346 7128 7776 9319 9504 10692 14256 18638 21384 27957 28512 37276 42768 55914 74552 83871 85536 102509 111828 149104 167742 205018 223656 251613 298208 307527 335484 410036 447312 503226 615054 670968 754839 820072 894624 922581 1006452 1230108 1341936 1509678 1640144 1845162 2012904 2264517 2460216 2683872 2767743 3019356 3280288 3690324 4025808 4529034 4920432 5535486 6038712 7380648 8051616 8303229 9058068 9840864 11070972 12077424 14761296 16606458 18116136 22141944 24154848 24909687 29522592 33212916 36232272 44283888 49819374 66425832 72464544 88567776 99638748 132851664 199277496 265703328 398554992 797109984