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5756193856 = 267218110141
BaseRepresentation
bin1010101110001100…
…01000110001000000
3112212011021221112001
411113012020301000
543242041200411
62351103113344
7262433561200
oct52706106100
915764257461
105756193856
112494248706
1211478a2854
1370971468a
143c86a6400
1523a528dc1
hex157188c40

5756193856 has 84 divisors (see below), whose sum is σ = 13362064716. Its totient is φ = 2453068800.

The previous prime is 5756193851. The next prime is 5756193857. The reversal of 5756193856 is 6583916575.

It can be written as a sum of positive squares in 2 ways, for example, as 415507456 + 5340686400 = 20384^2 + 73080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5756193797 and 5756193806.

It is not an unprimeable number, because it can be changed into a prime (5756193851) 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, 562546 + ... + 572686.

It is an arithmetic number, because the mean of its divisors is an integer number (159072199).

Almost surely, 25756193856 is an apocalyptic number.

5756193856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756193856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681032358).

5756193856 is an abundant number, since it is smaller than the sum of its proper divisors (7605870860).

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

5756193856 is a wasteful number, since it uses less digits than its factorization.

5756193856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348 (or 10331 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 55.

The square root of 5756193856 is about 75869.5845250256. The cubic root of 5756193856 is about 1792.1669766283.

The spelling of 5756193856 in words is "five billion, seven hundred fifty-six million, one hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 181 196 224 362 392 448 724 784 1267 1448 1568 2534 2896 3136 5068 5792 8869 10136 10141 11584 17738 20272 20282 35476 40544 40564 70952 70987 81088 81128 141904 141974 162256 283808 283948 324512 496909 567616 567896 649024 993818 1135792 1835521 1987636 2271584 3671042 3975272 4543168 7342084 7950544 12848647 14684168 15901088 25697294 29368336 31802176 51394588 58736672 89940529 102789176 117473344 179881058 205578352 359762116 411156704 719524232 822313408 1439048464 2878096928 5756193856