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5608000 = 2653701
BaseRepresentation
bin10101011001001001000000
3101112220201201
4111121021000
52413424000
6320110544
765444566
oct25311100
911486651
105608000
113190412
121a65454
131214758
14a5da36
1575b96a
hex559240

5608000 has 56 divisors (see below), whose sum is σ = 13908024. Its totient is φ = 2240000.

The previous prime is 5607971. The next prime is 5608003. The reversal of 5608000 is 8065.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 5607424 = 24^2 + 2368^2 .

It is not an unprimeable number, because it can be changed into a prime (5608003) 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, 7650 + ... + 8350.

Almost surely, 25608000 is an apocalyptic number.

5608000 is a gapful number since it is divisible by the number (50) 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 5608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954012).

5608000 is an abundant number, since it is smaller than the sum of its proper divisors (8300024).

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

5608000 is an equidigital number, since it uses as much as digits as its factorization.

5608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5608000 is about 2368.1216184985. The cubic root of 5608000 is about 177.6653223986.

The spelling of 5608000 in words is "five million, six hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 701 800 1000 1402 1600 2000 2804 3505 4000 5608 7010 8000 11216 14020 17525 22432 28040 35050 44864 56080 70100 87625 112160 140200 175250 224320 280400 350500 560800 701000 1121600 1402000 2804000 5608000