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5766757256 = 2313241104033
BaseRepresentation
bin1010101111011100…
…11011101110001000
3112212220011121210002
411113232123232020
543302242213011
62352121342132
7262622425241
oct52756335610
915786147702
105766757256
11249a203097
12114b337948
1370b972800
143c9c55cc8
1523b413c3b
hex157b9bb88

5766757256 has 48 divisors (see below), whose sum is σ = 11994079860. Its totient is φ = 2596638720.

The previous prime is 5766757229. The next prime is 5766757267. The reversal of 5766757256 is 6527576675.

It can be written as a sum of positive squares in 6 ways, for example, as 25664356 + 5741092900 = 5066^2 + 75770^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3416 + ... + 107448.

Almost surely, 25766757256 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 5766757256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997039930).

5766757256 is an abundant number, since it is smaller than the sum of its proper divisors (6227322604).

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

5766757256 is a wasteful number, since it uses less digits than its factorization.

5766757256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104106 (or 104089 counting only the distinct ones).

The product of its digits is 18522000, while the sum is 56.

The square root of 5766757256 is about 75939.1681281801. The cubic root of 5766757256 is about 1793.2625968914.

The spelling of 5766757256 in words is "five billion, seven hundred sixty-six million, seven hundred fifty-seven thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 169 328 338 533 676 1066 1352 2132 4264 6929 13858 27716 55432 104033 208066 416132 832264 1352429 2704858 4265353 5409716 8530706 10819432 17061412 17581577 34122824 35163154 55449589 70326308 110899178 140652616 221798356 443596712 720844657 1441689314 2883378628 5766757256