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4892287680 = 263357233517
BaseRepresentation
bin1001000111001101…
…00110001011000000
3110121221200222001000
410203212212023000
540004411201210
62125242412000
7232143521250
oct44346461300
913557628030
104892287680
112090629165
12b46501000
135cc7478a7
14345a63960
151d977bac0
hex1239a62c0

4892287680 has 448 divisors, whose sum is σ = 20587898880. Its totient is φ = 1069314048.

The previous prime is 4892287643. The next prime is 4892287681. The reversal of 4892287680 is 867822984.

4892287680 is a `hidden beast` number, since 489 + 2 + 2 + 87 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4892287681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1389282 + ... + 1392798.

Almost surely, 24892287680 is an apocalyptic number.

4892287680 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 4892287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10293949440).

4892287680 is an abundant number, since it is smaller than the sum of its proper divisors (15695611200).

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

4892287680 is a wasteful number, since it uses less digits than its factorization.

4892287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4892287680 is about 69944.8903065835. The cubic root of 4892287680 is about 1697.6076707233.

The spelling of 4892287680 in words is "four billion, eight hundred ninety-two million, two hundred eighty-seven thousand, six hundred eighty".