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797106096 = 2436371847
BaseRepresentation
bin101111100000101…
…101111110110000
32001112220012000000
4233200231332300
53113024343341
6211032430000
725516201323
oct5740557660
92045805000
10797106096
11379a44676
121a2b48300
13c91ab917
1477c147ba
1549ea48b6
hex2f82dfb0

797106096 has 140 divisors (see below), whose sum is σ = 2379399792. Its totient is φ = 258380928.

The previous prime is 797106083. The next prime is 797106127. The reversal of 797106096 is 690601797.

It is a super-2 number, since 2×7971060962 = 1270756256560722432, which contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 430645 + ... + 432491.

Almost surely, 2797106096 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 797106096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189699896).

797106096 is an abundant number, since it is smaller than the sum of its proper divisors (1582293696).

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

797106096 is a wasteful number, since it uses less digits than its factorization.

797106096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 797106096 is about 28233.0674210225. The cubic root of 797106096 is about 927.1970549131.

The spelling of 797106096 in words is "seven hundred ninety-seven million, one hundred six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 432 444 486 592 648 666 729 888 972 999 1296 1332 1458 1776 1847 1944 1998 2664 2916 2997 3694 3888 3996 5328 5541 5832 5994 7388 7992 8991 11082 11664 11988 14776 15984 16623 17982 22164 23976 26973 29552 33246 35964 44328 47952 49869 53946 66492 68339 71928 88656 99738 107892 132984 136678 143856 149607 199476 205017 215784 265968 273356 299214 398952 410034 431568 448821 546712 598428 615051 797904 820068 897642 1093424 1196856 1230102 1346463 1640136 1795284 1845153 2393712 2460204 2692926 3280272 3590568 3690306 4920408 5385852 5535459 7181136 7380612 9840816 10771704 11070918 14761224 16606377 21543408 22141836 29522448 33212754 44283672 49819131 66425508 88567344 99638262 132851016 199276524 265702032 398553048 797106096