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4682862720 = 2736510037
BaseRepresentation
bin1000101110001111…
…01101000010000000
3110002100122002000000
410113013231002000
534042303101340
62052402000000
7224021450664
oct42707550200
913070562000
104682862720
111a93399088
12aa8346000
135982406b3
14325d0a8a4
151c61aed30
hex1171ed080

4682862720 has 224 divisors, whose sum is σ = 16786447020. Its totient is φ = 1248638976.

The previous prime is 4682862713. The next prime is 4682862731. The reversal of 4682862720 is 272682864.

It can be written as a sum of positive squares in 2 ways, for example, as 4570841664 + 112021056 = 67608^2 + 10584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 27 ways as a sum of consecutive naturals, for example, 461542 + ... + 471578.

Almost surely, 24682862720 is an apocalyptic number.

4682862720 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 4682862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8393223510).

4682862720 is an abundant number, since it is smaller than the sum of its proper divisors (12103584300).

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

4682862720 is an equidigital number, since it uses as much as digits as its factorization.

4682862720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4682862720 is about 68431.4454034109. The cubic root of 4682862720 is about 1673.0303090205.

The spelling of 4682862720 in words is "four billion, six hundred eighty-two million, eight hundred sixty-two thousand, seven hundred twenty".