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482965560 = 23325721119131
BaseRepresentation
bin11100110010010…
…111100000111000
31020122210012012100
4130302113200320
51442114344220
6115531343400
714653065600
oct3462274070
91218705170
10482965560
112286921a0
121158b1b60
137909c74c
14481ddc00
152c600d90
hex1cc97838

482965560 has 576 divisors, whose sum is σ = 2112739200. Its totient is φ = 94348800.

The previous prime is 482965543. The next prime is 482965583. The reversal of 482965560 is 65569284.

482965560 is a `hidden beast` number, since 4 + 8 + 2 + 96 + 556 + 0 = 666.

It is a super-2 number, since 2×4829655602 = 466511464292227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3686695 + ... + 3686825.

It is an arithmetic number, because the mean of its divisors is an integer number (3667950).

Almost surely, 2482965560 is an apocalyptic number.

482965560 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 482965560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056369600).

482965560 is an abundant number, since it is smaller than the sum of its proper divisors (1629773640).

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

482965560 is a wasteful number, since it uses less digits than its factorization.

482965560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 482965560 is about 21976.4774247376. The cubic root of 482965560 is about 784.5826875737.

The spelling of 482965560 in words is "four hundred eighty-two million, nine hundred sixty-five thousand, five hundred sixty".