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5609792 = 262337103
BaseRepresentation
bin10101011001100101000000
3101120000012002
4111121211000
52414003132
6320123132
765453036
oct25314500
911500162
105609792
1131917a1
121a664a8
131215506
14a60556
1575c262
hex559940

5609792 has 56 divisors (see below), whose sum is σ = 12045696. Its totient is φ = 2585088.

The previous prime is 5609783. The next prime is 5609797. The reversal of 5609792 is 2979065.

5609792 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 5 + 66 + 0 + 96 + 76 + 97 + 217 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5609797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54413 + ... + 54515.

Almost surely, 25609792 is an apocalyptic number.

It is a pronic number, being equal to 2368×2369.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5609792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022848).

5609792 is an abundant number, since it is smaller than the sum of its proper divisors (6435904).

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

5609792 is a wasteful number, since it uses less digits than its factorization.

5609792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 5609792 is about 2368.4999472240. The cubic root of 5609792 is about 177.6842443168.

The spelling of 5609792 in words is "five million, six hundred nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 103 148 184 206 296 368 412 592 736 824 851 1184 1472 1648 1702 2368 2369 3296 3404 3811 4738 6592 6808 7622 9476 13616 15244 18952 27232 30488 37904 54464 60976 75808 87653 121952 151616 175306 243904 350612 701224 1402448 2804896 5609792