Search a number
-
+
561160752 = 243171634219
BaseRepresentation
bin100001011100101…
…010001000110000
31110002220220211120
4201130222020300
52122124121002
6131403342240
716622534115
oct4134521060
91402826746
10561160752
11268840419
12137b21980
138c34a4a9
145475690c
15343e9cbc
hex2172a230

561160752 has 80 divisors (see below), whose sum is σ = 1544722560. Its totient is φ = 174928896.

The previous prime is 561160723. The next prime is 561160757. The reversal of 561160752 is 257061165.

It is not an unprimeable number, because it can be changed into a prime (561160757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130899 + ... + 135117.

It is an arithmetic number, because the mean of its divisors is an integer number (19309032).

Almost surely, 2561160752 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 561160752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772361280).

561160752 is an abundant number, since it is smaller than the sum of its proper divisors (983561808).

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

561160752 is a wasteful number, since it uses less digits than its factorization.

561160752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 561160752 is about 23688.8317989723. The cubic root of 561160752 is about 824.8261657618.

The spelling of 561160752 in words is "five hundred sixty-one million, one hundred sixty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 163 204 272 326 408 489 652 816 978 1304 1956 2608 2771 3912 4219 5542 7824 8313 8438 11084 12657 16626 16876 22168 25314 33252 33752 44336 50628 66504 67504 71723 101256 133008 143446 202512 215169 286892 430338 573784 687697 860676 1147568 1375394 1721352 2063091 2750788 3442704 4126182 5501576 8252364 11003152 11690849 16504728 23381698 33009456 35072547 46763396 70145094 93526792 140290188 187053584 280580376 561160752