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482020560 = 243257591621
BaseRepresentation
bin11100101110110…
…000110011010000
31020121000011220100
4130232300303100
51441344124220
6115455212400
714642051520
oct3456606320
91217004810
10482020560
112280a71aa
12115517100
1378b2b588
1448035680
152c4b5d90
hex1cbb0cd0

482020560 has 240 divisors, whose sum is σ = 1882558080. Its totient is φ = 108241920.

The previous prime is 482020543. The next prime is 482020573. The reversal of 482020560 is 65020284.

482020560 is a `hidden beast` number, since 4 + 82 + 0 + 20 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296550 + ... + 298170.

It is an arithmetic number, because the mean of its divisors is an integer number (7843992).

Almost surely, 2482020560 is an apocalyptic number.

482020560 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 482020560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941279040).

482020560 is an abundant number, since it is smaller than the sum of its proper divisors (1400537520).

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

482020560 is a wasteful number, since it uses less digits than its factorization.

482020560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 482020560 is about 21954.9666362762. The cubic root of 482020560 is about 784.0706326062.

The spelling of 482020560 in words is "four hundred eighty-two million, twenty thousand, five hundred sixty".