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485720064 = 2153561
BaseRepresentation
bin11100111100111…
…000000000000000
31020211222010200000
4130330320000000
51443321020224
6120110400000
715015360324
oct3474700000
91224863600
10485720064
1122a1a3745
12116800000
137982542b
1448719984
152c9970c9
hex1cf38000

485720064 has 192 divisors, whose sum is σ = 1478993880. Its totient is φ = 159252480.

The previous prime is 485720063. The next prime is 485720083. The reversal of 485720064 is 460027584.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485720063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7962594 + ... + 7962654.

Almost surely, 2485720064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739496940).

485720064 is an abundant number, since it is smaller than the sum of its proper divisors (993273816).

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

485720064 is an frugal number, since it uses more digits than its factorization.

485720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 485720064 is about 22039.0576931048. The cubic root of 485720064 is about 786.0714345658.

The spelling of 485720064 in words is "four hundred eighty-five million, seven hundred twenty thousand, sixty-four".