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561075444 = 223323921737
BaseRepresentation
bin100001011100010…
…101010011110100
31110002202120211000
4201130111103310
52122113403234
6131401443300
716622030316
oct4134252364
91402676730
10561075444
11268792316
12137aa0530
138c31a707
14547337b6
15343ce899
hex217154f4

561075444 has 48 divisors (see below), whose sum is σ = 1460793600. Its totient is φ = 186234048.

The previous prime is 561075439. The next prime is 561075457. The reversal of 561075444 is 444570165.

561075444 is a `hidden beast` number, since 5 + 6 + 107 + 544 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 561075399 and 561075408.

It is a congruent number.

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, 14944 + ... + 36680.

It is an arithmetic number, because the mean of its divisors is an integer number (30433200).

Almost surely, 2561075444 is an apocalyptic number.

561075444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561075444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730396800).

561075444 is an abundant number, since it is smaller than the sum of its proper divisors (899718156).

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

561075444 is a wasteful number, since it uses less digits than its factorization.

561075444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21989 (or 21981 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 561075444 is about 23687.0311352014. The cubic root of 561075444 is about 824.7843667846.

The spelling of 561075444 in words is "five hundred sixty-one million, seventy-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 478 717 956 1434 2151 2868 4302 6453 8604 12906 21737 25812 43474 65211 86948 130422 195633 260844 391266 586899 782532 1173798 2347596 5195143 10390286 15585429 20780572 31170858 46756287 62341716 93512574 140268861 187025148 280537722 561075444