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639485280 = 25345721953
BaseRepresentation
bin100110000111011…
…100010101100000
31122120022012220000
4212013130111200
52302202012110
6143242220000
721563351400
oct4607342540
91576265800
10639485280
112a8a77835
1215a1b4600
13a2642075
1460d04800
153b21c1c0
hex261dc560

639485280 has 720 divisors, whose sum is σ = 2815631280. Its totient is φ = 135862272.

The previous prime is 639485257. The next prime is 639485291. The reversal of 639485280 is 82584936.

639485280 is a `hidden beast` number, since 639 + 4 + 8 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12065734 + ... + 12065786.

It is an arithmetic number, because the mean of its divisors is an integer number (3910599).

Almost surely, 2639485280 is an apocalyptic number.

639485280 is a gapful number since it is divisible by the number (60) 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 639485280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407815640).

639485280 is an abundant number, since it is smaller than the sum of its proper divisors (2176146000).

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

639485280 is a wasteful number, since it uses less digits than its factorization.

639485280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 639485280 is about 25288.0461878730. The cubic root of 639485280 is about 861.5427868373.

The spelling of 639485280 in words is "six hundred thirty-nine million, four hundred eighty-five thousand, two hundred eighty".