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485261280 = 2535571783
BaseRepresentation
bin11100111011000…
…111111111100000
31020211002211100000
4130323013333200
51443211330110
6120052500000
715011436630
oct3473077740
91224084300
10485261280
11229a0aa89
1211661a600
13796c466a
144863a6c0
152c9061c0
hex1cec7fe0

485261280 has 288 divisors, whose sum is σ = 1963713024. Its totient is φ = 110854656.

The previous prime is 485261239. The next prime is 485261317. The reversal of 485261280 is 82162584.

485261280 is a `hidden beast` number, since 4 + 8 + 526 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) 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 (36).

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, 271269 + ... + 273051.

It is an arithmetic number, because the mean of its divisors is an integer number (6818448).

Almost surely, 2485261280 is an apocalyptic number.

485261280 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 485261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981856512).

485261280 is an abundant number, since it is smaller than the sum of its proper divisors (1478451744).

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

485261280 is a wasteful number, since it uses less digits than its factorization.

485261280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 485261280 is about 22028.6468036509. The cubic root of 485261280 is about 785.8238635681.

The spelling of 485261280 in words is "four hundred eighty-five million, two hundred sixty-one thousand, two hundred eighty".