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561179696 = 2471129113139
BaseRepresentation
bin100001011100101…
…110110000110000
31110002221212211012
4201130232300300
52122130222241
6131404010052
716622643260
oct4134566060
91402855735
10561179696
11268853680
12137b30928
138c355cbc
145475d7a0
15344006eb
hex2172ec30

561179696 has 160 divisors (see below), whose sum is σ = 1424908800. Its totient is φ = 207728640.

The previous prime is 561179659. The next prime is 561179699. The reversal of 561179696 is 696971165.

It is not an unprimeable number, because it can be changed into a prime (561179699) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4037195 + ... + 4037333.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2561179696 is an apocalyptic number.

561179696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561179696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

561179696 is an abundant number, since it is smaller than the sum of its proper divisors (863729104).

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

561179696 is a wasteful number, since it uses less digits than its factorization.

561179696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its digits is 612360, while the sum is 50.

The square root of 561179696 is about 23689.2316464676. The cubic root of 561179696 is about 824.8354473155.

The spelling of 561179696 in words is "five hundred sixty-one million, one hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 113 116 139 154 176 203 226 232 278 308 319 406 452 464 556 616 638 791 812 904 973 1112 1232 1243 1276 1529 1582 1624 1808 1946 2224 2233 2486 2552 3058 3164 3248 3277 3892 4031 4466 4972 5104 6116 6328 6554 7784 8062 8701 8932 9944 10703 12232 12656 13108 15568 15707 16124 17402 17864 19888 21406 22939 24464 26216 28217 31414 32248 34804 35728 36047 42812 44341 45878 52432 56434 62828 64496 69608 72094 85624 88682 91756 109949 112868 125656 139216 144188 171248 172777 177364 183512 219898 225736 251312 252329 288376 310387 345554 354728 367024 439796 451472 455503 504658 576752 620774 691108 709456 879592 911006 1009316 1209439 1241548 1382216 1759184 1822012 2018632 2418878 2483096 2764432 3188521 3644024 4037264 4837756 4966192 5010533 6377042 7288048 9675512 10021066 12754084 19351024 20042132 25508168 35073731 40084264 51016336 70147462 80168528 140294924 280589848 561179696