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482489280 = 263257213263
BaseRepresentation
bin11100110000100…
…011001111000000
31020121212222212100
4130300203033000
51442004124110
6115513230400
714646043200
oct3460431700
91217788770
10482489280
11228397379
12115702400
1378c63a20
1448118400
152c559bc0
hex1cc233c0

482489280 has 504 divisors, whose sum is σ = 2086916832. Its totient is φ = 101412864.

The previous prime is 482489237. The next prime is 482489297. The reversal of 482489280 is 82984284.

It is a happy number.

482489280 is a `hidden beast` number, since 482 + 4 + 8 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 1834429 + ... + 1834691.

It is an arithmetic number, because the mean of its divisors is an integer number (4140708).

Almost surely, 2482489280 is an apocalyptic number.

482489280 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 482489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043458416).

482489280 is an abundant number, since it is smaller than the sum of its proper divisors (1604427552).

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

482489280 is a wasteful number, since it uses less digits than its factorization.

482489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 482489280 is about 21965.6386203543. The cubic root of 482489280 is about 784.3246954400.

The spelling of 482489280 in words is "four hundred eighty-two million, four hundred eighty-nine thousand, two hundred eighty".