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561882516 = 22313191631163
BaseRepresentation
bin100001011111011…
…010010110010100
31110011021120220120
4201133122112110
52122320220031
6131431031540
716631631306
oct4137322624
91404246816
10561882516
11269193718
1213820b5b0
138c540b80
14548a3976
15344dda96
hex217da594

561882516 has 96 divisors (see below), whose sum is σ = 1496624640. Its totient is φ = 162642816.

The previous prime is 561882473. The next prime is 561882551. The reversal of 561882516 is 615288165.

561882516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482551 + ... + 483713.

It is an arithmetic number, because the mean of its divisors is an integer number (15589840).

Almost surely, 2561882516 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 561882516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748312320).

561882516 is an abundant number, since it is smaller than the sum of its proper divisors (934742124).

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

561882516 is a wasteful number, since it uses less digits than its factorization.

561882516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1363 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 561882516 is about 23704.0611710314. The cubic root of 561882516 is about 825.1796442588.

The spelling of 561882516 in words is "five hundred sixty-one million, eight hundred eighty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 163 228 247 326 489 494 652 741 978 988 1163 1482 1956 2119 2326 2964 3097 3489 4238 4652 6194 6357 6978 8476 9291 12388 12714 13956 15119 18582 22097 25428 30238 37164 40261 44194 45357 60476 66291 80522 88388 90714 120783 132582 161044 181428 189569 241566 265164 287261 379138 483132 568707 574522 758276 861783 1137414 1149044 1723566 2274828 2464397 3447132 3601811 4928794 7203622 7393191 9857588 10805433 14407244 14786382 21610866 29572764 43221732 46823543 93647086 140470629 187294172 280941258 561882516