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561049944 = 2337133753131
BaseRepresentation
bin100001011100001…
…111000101011000
31110002201021211120
4201130033011120
52122112044234
6131401125240
716621563060
oct4134170530
91402637746
10561049944
11268775144
12137a89820
138c30bc20
14547283a0
15343c7049
hex2170f158

561049944 has 256 divisors, whose sum is σ = 1820206080. Its totient is φ = 140175360.

The previous prime is 561049933. The next prime is 561049949. The reversal of 561049944 is 449940165.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 561049896 and 561049905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561049949) 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 63 ways as a sum of consecutive naturals, for example, 4282759 + ... + 4282889.

It is an arithmetic number, because the mean of its divisors is an integer number (7110180).

Almost surely, 2561049944 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 561049944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910103040).

561049944 is an abundant number, since it is smaller than the sum of its proper divisors (1259156136).

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

561049944 is a wasteful number, since it uses less digits than its factorization.

561049944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 561049944 is about 23686.4928598558. The cubic root of 561049944 is about 824.7718715428.

The spelling of 561049944 in words is "five hundred sixty-one million, forty-nine thousand, nine hundred forty-four".