Search a number
-
+
561445264 = 2417101107191
BaseRepresentation
bin100001011101101…
…111100110010000
31110010110101010001
4201131233212100
52122212222024
6131413415344
716625130442
oct4135574620
91403411101
10561445264
11268a15156
1213803a554
138c419b43
14547cc492
1534454244
hex2176f990

561445264 has 80 divisors (see below), whose sum is σ = 1180210176. Its totient is φ = 257792000.

The previous prime is 561445259. The next prime is 561445273. The reversal of 561445264 is 462544165.

561445264 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 (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2939409 + ... + 2939599.

Almost surely, 2561445264 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 561445264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590105088).

561445264 is an abundant number, since it is smaller than the sum of its proper divisors (618764912).

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

561445264 is a wasteful number, since it uses less digits than its factorization.

561445264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The square root of 561445264 is about 23694.8362307065. The cubic root of 561445264 is about 824.9655395462.

The spelling of 561445264 in words is "five hundred sixty-one million, four hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 101 107 136 191 202 214 272 382 404 428 764 808 856 1528 1616 1712 1717 1819 3056 3247 3434 3638 6494 6868 7276 10807 12988 13736 14552 19291 20437 21614 25976 27472 29104 38582 40874 43228 51952 77164 81748 86456 154328 163496 172912 183719 308656 326992 327947 347429 367438 655894 694858 734876 1311788 1389716 1469752 2064137 2623576 2779432 2939504 4128274 5247152 5558864 8256548 16513096 33026192 35090329 70180658 140361316 280722632 561445264