Search a number
-
+
561402424 = 2311171919751
BaseRepresentation
bin100001011101100…
…101001000111000
31110010101012100101
4201131211020320
52122204334144
6131412445144
716624561522
oct4135451070
91403335311
10561402424
11268995a50
121380197b4
138c4034ab
14547baa12
15344466d4
hex21765238

561402424 has 64 divisors (see below), whose sum is σ = 1279929600. Its totient is φ = 227520000.

The previous prime is 561402421. The next prime is 561402433. The reversal of 561402424 is 424204165.

It is a junction number, because it is equal to n+sod(n) for n = 561402392 and 561402401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561402421) 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 15 ways as a sum of consecutive naturals, for example, 18549 + ... + 38299.

It is an arithmetic number, because the mean of its divisors is an integer number (19998900).

Almost surely, 2561402424 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 561402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639964800).

561402424 is an abundant number, since it is smaller than the sum of its proper divisors (718527176).

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

561402424 is a wasteful number, since it uses less digits than its factorization.

561402424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19804 (or 19800 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 561402424 is about 23693.9322190303. The cubic root of 561402424 is about 824.9445565434.

Adding to 561402424 its reverse (424204165), we get a palindrome (985606589).

It can be divided in two parts, 56140 and 2424, that added together give a square (58564 = 2422).

The spelling of 561402424 in words is "five hundred sixty-one million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 76 88 136 152 187 209 323 374 418 646 748 836 1292 1496 1672 2584 3553 7106 14212 19751 28424 39502 79004 158008 217261 335767 375269 434522 671534 750538 869044 1343068 1501076 1738088 2686136 3002152 3693437 4127959 6379573 7386874 8255918 12759146 14773748 16511836 25518292 29547496 33023672 51036584 70175303 140350606 280701212 561402424