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5282242560 = 21332572389
BaseRepresentation
bin1001110101101100…
…01010000000000000
3111122010110201120100
410322312022000000
541304223230220
62232052442400
7244620215040
oct47266120000
914563421510
105282242560
112270763021
121035019400
1366247cc1a
14381771720
1520db08d90
hex13ad8a000

5282242560 has 672 divisors, whose sum is σ = 22081662720. Its totient is φ = 1141899264.

The previous prime is 5282242529. The next prime is 5282242597. The reversal of 5282242560 is 652422825.

5282242560 is a `hidden beast` number, since 52 + 8 + 2 + 2 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59350996 + ... + 59351084.

Almost surely, 25282242560 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 5282242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040831360).

5282242560 is an abundant number, since it is smaller than the sum of its proper divisors (16799420160).

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

5282242560 is a wasteful number, since it uses less digits than its factorization.

5282242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5282242560 is about 72679.0379683166. The cubic root of 5282242560 is about 1741.5640316902.

The spelling of 5282242560 in words is "five billion, two hundred eighty-two million, two hundred forty-two thousand, five hundred sixty".