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5682255840 = 253351379601
BaseRepresentation
bin1010100101011000…
…00101011111100000
3112200000011111122000
411102230011133200
543114124141330
62335502244000
7260545243362
oct52254053740
915600144560
105682255840
112456537a08
121126b86600
136c72c7581
143bc93ad32
15233cc1560
hex152b057e0

5682255840 has 192 divisors, whose sum is σ = 20035149120. Its totient is φ = 1504051200.

The previous prime is 5682255827. The next prime is 5682255841. The reversal of 5682255840 is 485522865.

It is a happy number.

5682255840 is a `hidden beast` number, since 5 + 68 + 2 + 2 + 5 + 584 + 0 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5682255841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587040 + ... + 596640.

It is an arithmetic number, because the mean of its divisors is an integer number (104349735).

Almost surely, 25682255840 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 5682255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017574560).

5682255840 is an abundant number, since it is smaller than the sum of its proper divisors (14352893280).

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

5682255840 is a wasteful number, since it uses less digits than its factorization.

5682255840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9762 (or 9748 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5682255840 is about 75380.7391844893. The cubic root of 5682255840 is about 1784.4604541178.

The spelling of 5682255840 in words is "five billion, six hundred eighty-two million, two hundred fifty-five thousand, eight hundred forty".