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5766408 = 23322832
BaseRepresentation
bin10101111111110100001000
3101211222000200
4111333310020
52434011113
6323332200
7100004454
oct25776410
911758020
105766408
11328942a
121b21060
13126b89b
14aa1664
1578d873
hex57fd08

5766408 has 36 divisors (see below), whose sum is σ = 15672735. Its totient is φ = 1915344.

The previous prime is 5766379. The next prime is 5766421. The reversal of 5766408 is 8046675.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5766408 is a `hidden beast` number, since 5 + 7 + 6 + 640 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2883204 + 2883204 = 1698^2 + 1698^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1698.

It is a super-2 number, since 2×57664082 = 66502922444928, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20235 + ... + 20517.

Almost surely, 25766408 is an apocalyptic number.

It is an amenable number.

5766408 is an abundant number, since it is smaller than the sum of its proper divisors (9906327).

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

5766408 is a wasteful number, since it uses less digits than its factorization.

5766408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5766408 is about 2401.3346289095. The cubic root of 5766408 is about 179.3226393971.

The spelling of 5766408 in words is "five million, seven hundred sixty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 283 566 849 1132 1698 2264 2547 3396 5094 6792 10188 20376 80089 160178 240267 320356 480534 640712 720801 961068 1441602 1922136 2883204 5766408