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5726808360 = 233257213217113
BaseRepresentation
bin1010101010101100…
…00010100100101000
3112210010000000012100
411111112002210220
543212030331420
62344133213400
7261626032200
oct52526024450
915703000170
105726808360
1124796a7979
121139a91260
137035c6300
143c4817400
15237b72190
hex155582928

5726808360 has 864 divisors, whose sum is σ = 25043162040. Its totient is φ = 1127153664.

The previous prime is 5726808359. The next prime is 5726808361. The reversal of 5726808360 is 638086275.

It is an interprime number because it is at equal distance from previous prime (5726808359) and next prime (5726808361).

It can be written as a sum of positive squares in 12 ways, for example, as 343064484 + 5383743876 = 18522^2 + 73374^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5726808361) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 50679664 + ... + 50679776.

Almost surely, 25726808360 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 5726808360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521581020).

5726808360 is an abundant number, since it is smaller than the sum of its proper divisors (19316353680).

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

5726808360 is a wasteful number, since it uses less digits than its factorization.

5726808360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5726808360 is about 75675.6787878378. The cubic root of 5726808360 is about 1789.1120883723.

The spelling of 5726808360 in words is "five billion, seven hundred twenty-six million, eight hundred eight thousand, three hundred sixty".