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5282262720 = 26345724159
BaseRepresentation
bin1001110101101100…
…01110111011000000
3111122010111202020000
410322312032323000
541304224401340
62232053120000
7244620330600
oct47266167300
914563452200
105282262720
112270777189
121035029000
13662489157
14381778c00
1520db0ed30
hex13ad8eec0

5282262720 has 420 divisors, whose sum is σ = 21862938240. Its totient is φ = 1207084032.

The previous prime is 5282262697. The next prime is 5282262721. The reversal of 5282262720 is 272622825.

5282262720 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 2 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5282262721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1268001 + ... + 1272159.

Almost surely, 25282262720 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 5282262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10931469120).

5282262720 is an abundant number, since it is smaller than the sum of its proper divisors (16580675520).

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

5282262720 is a wasteful number, since it uses less digits than its factorization.

5282262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5282262720 is about 72679.1766601686. The cubic root of 5282262720 is about 1741.5662472824.

The spelling of 5282262720 in words is "five billion, two hundred eighty-two million, two hundred sixty-two thousand, seven hundred twenty".