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482027520 = 21135131771
BaseRepresentation
bin11100101110110…
…010100000000000
31020121000112110010
4130232302200000
51441344340040
6115455304520
714642111022
oct3456624000
91217015403
10482027520
11228101457
1211551b140
1378b317b0
1448038012
152c4b7e80
hex1cbb2800

482027520 has 384 divisors, whose sum is σ = 1783192320. Its totient is φ = 110100480.

The previous prime is 482027509. The next prime is 482027521. The reversal of 482027520 is 25720284.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (482027521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6789085 + ... + 6789155.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2482027520 is an apocalyptic number.

482027520 is a gapful number since it is divisible by the number (40) 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 482027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891596160).

482027520 is an abundant number, since it is smaller than the sum of its proper divisors (1301164800).

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

482027520 is a wasteful number, since it uses less digits than its factorization.

482027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 482027520 is about 21955.1251419799. The cubic root of 482027520 is about 784.0744063770.

The spelling of 482027520 in words is "four hundred eighty-two million, twenty-seven thousand, five hundred twenty".