Search a number
-
+
561909084 = 22311371031117
BaseRepresentation
bin100001011111100…
…000110101011100
31110011022221100120
4201133200311130
52122322042314
6131431354540
716632101622
oct4137406534
91404287316
10561909084
11269201680
12138222a50
138c54cca9
14548ad512
15344e68a9
hex217e0d5c

561909084 has 96 divisors (see below), whose sum is σ = 1484560896. Its totient is φ = 163918080.

The previous prime is 561909083. The next prime is 561909107. The reversal of 561909084 is 480909165.

561909084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561909083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502494 + ... + 503610.

It is an arithmetic number, because the mean of its divisors is an integer number (15464176).

Almost surely, 2561909084 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 561909084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742280448).

561909084 is an abundant number, since it is smaller than the sum of its proper divisors (922651812).

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

561909084 is a wasteful number, since it uses less digits than its factorization.

561909084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 561909084 is about 23704.6215747056. The cubic root of 561909084 is about 825.1926499593.

The spelling of 561909084 in words is "five hundred sixty-one million, nine hundred nine thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 103 111 132 148 206 222 309 407 412 444 618 814 1117 1133 1221 1236 1628 2234 2266 2442 3351 3399 3811 4468 4532 4884 6702 6798 7622 11433 12287 13404 13596 15244 22866 24574 36861 41329 41921 45732 49148 73722 82658 83842 115051 123987 125763 147444 165316 167684 230102 247974 251526 345153 454619 460204 495948 503052 690306 909238 1265561 1363857 1380612 1818476 2531122 2727714 3796683 4256887 5062244 5455428 7593366 8513774 12770661 15186732 17027548 25541322 46825757 51082644 93651514 140477271 187303028 280954542 561909084