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561126312 = 233337611151
BaseRepresentation
bin100001011100100…
…001101110101000
31110002212011121000
4201130201232220
52122122020222
6131402515000
716622331525
oct4134415650
91402764530
10561126312
1126881755a
12137b05a60
138c337906
145474814c
15343de9ac
hex21721ba8

561126312 has 128 divisors (see below), whose sum is σ = 1628467200. Its totient is φ = 178848000.

The previous prime is 561126299. The next prime is 561126341. The reversal of 561126312 is 213621165.

It is a super-3 number, since 3×5611263123 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 486937 + ... + 488087.

It is an arithmetic number, because the mean of its divisors is an integer number (12722400).

Almost surely, 2561126312 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 561126312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

561126312 is an abundant number, since it is smaller than the sum of its proper divisors (1067340888).

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

561126312 is a wasteful number, since it uses less digits than its factorization.

561126312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1254 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 561126312 is about 23688.1048629898. The cubic root of 561126312 is about 824.8092914560.

Adding to 561126312 its reverse (213621165), we get a palindrome (774747477).

The spelling of 561126312 in words is "five hundred sixty-one million, one hundred twenty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 61 72 74 108 111 122 148 183 216 222 244 296 333 366 444 488 549 666 732 888 999 1098 1151 1332 1464 1647 1998 2196 2257 2302 2664 3294 3453 3996 4392 4514 4604 6588 6771 6906 7992 9028 9208 10359 13176 13542 13812 18056 20313 20718 27084 27624 31077 40626 41436 42587 54168 60939 62154 70211 81252 82872 85174 121878 124308 127761 140422 162504 170348 210633 243756 248616 255522 280844 340696 383283 421266 487512 511044 561688 631899 766566 842532 1022088 1149849 1263798 1533132 1685064 1895697 2299698 2527596 2597807 3066264 3791394 4599396 5055192 5195614 7582788 7793421 9198792 10391228 15165576 15586842 20782456 23380263 31173684 46760526 62347368 70140789 93521052 140281578 187042104 280563156 561126312