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5609088 = 2734541
BaseRepresentation
bin10101011001011010000000
3101112222020000
4111121122000
52413442323
6320120000
765451012
oct25313200
911488200
105609088
113191211
121a66000
1312150b4
14a601b2
1575be43
hex559680

5609088 has 80 divisors (see below), whose sum is σ = 16723410. Its totient is φ = 1866240.

The previous prime is 5609083. The next prime is 5609111. The reversal of 5609088 is 8809065.

5609088 is a `hidden beast` number, since 560 + 90 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 627264 = 2232^2 + 792^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5609083) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10098 + ... + 10638.

Almost surely, 25609088 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 5609088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8361705).

5609088 is an abundant number, since it is smaller than the sum of its proper divisors (11114322).

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

5609088 is an equidigital number, since it uses as much as digits as its factorization.

5609088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5609088 is about 2368.3513252894. The cubic root of 5609088 is about 177.6768111867.

The spelling of 5609088 in words is "five million, six hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 541 576 648 864 1082 1152 1296 1623 1728 2164 2592 3246 3456 4328 4869 5184 6492 8656 9738 10368 12984 14607 17312 19476 25968 29214 34624 38952 43821 51936 58428 69248 77904 87642 103872 116856 155808 175284 207744 233712 311616 350568 467424 623232 701136 934848 1402272 1869696 2804544 5609088