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5688225 = 3452532
BaseRepresentation
bin10101101100101110100001
3101200222210000
4111230232201
52424010400
6321530213
766230514
oct25545641
911628700
105688225
113235714
121aa3969
13124211a
14a80d7b
15775600
hex56cba1

5688225 has 45 divisors (see below), whose sum is σ = 10739113. Its totient is φ = 2976480.

The previous prime is 5688191. The next prime is 5688247. The reversal of 5688225 is 5228865.

The square root of 5688225 is 2385.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 42849 + 5645376 = 207^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 5688225 - 221 = 3591073 is a prime.

It is a Duffinian number.

Its product of digits (38400) is a multiple of the sum of its prime factors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5688225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 107299 + ... + 107351.

Almost surely, 25688225 is an apocalyptic number.

5688225 is the 2385-th square number.

5688225 is the 1193-rd centered octagonal number.

It is an amenable number.

5688225 is a deficient number, since it is larger than the sum of its proper divisors (5050888).

5688225 is an equidigital number, since it uses as much as digits as its factorization.

5688225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 61 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The cubic root of 5688225 is about 178.5085088805.

Multiplying 5688225 by its sum of digits (36), we get a square (204776100 = 143102).

The spelling of 5688225 in words is "five million, six hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 53 75 81 135 159 225 265 405 477 675 795 1325 1431 2025 2385 2809 3975 4293 7155 8427 11925 14045 21465 25281 35775 42135 70225 75843 107325 126405 210675 227529 379215 632025 1137645 1896075 5688225