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5608096 = 251321761
BaseRepresentation
bin10101011001001010100000
3101112220212021
4111121022200
52413424341
6320111224
765445064
oct25311240
911486767
105608096
11319049a
121a65514
131214800
14a5daa4
1575b9d1
hex5592a0

5608096 has 72 divisors (see below), whose sum is σ = 12866364. Its totient is φ = 2396160.

The previous prime is 5608091. The next prime is 5608121. The reversal of 5608096 is 6908065.

It can be written as a sum of positive squares in 6 ways, for example, as 318096 + 5290000 = 564^2 + 2300^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (5608091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91906 + ... + 91966.

Almost surely, 25608096 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 5608096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433182).

5608096 is an abundant number, since it is smaller than the sum of its proper divisors (7258268).

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

5608096 is a wasteful number, since it uses less digits than its factorization.

5608096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 5608096 is about 2368.1418876410. The cubic root of 5608096 is about 177.6663361749. Note that the first 3 decimals are identical.

The spelling of 5608096 in words is "five million, six hundred eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 61 68 104 122 136 169 208 221 244 272 338 416 442 488 544 676 793 884 976 1037 1352 1586 1768 1952 2074 2704 2873 3172 3536 4148 5408 5746 6344 7072 8296 10309 11492 12688 13481 16592 20618 22984 25376 26962 33184 41236 45968 53924 82472 91936 107848 164944 175253 215696 329888 350506 431392 701012 1402024 2804048 5608096