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4864026240 = 273354753113
BaseRepresentation
bin1001000011110101…
…10010011010000000
3110112222112010122000
410201322302122000
534430142314430
62122352544000
7231351353343
oct44172623200
913488463560
104864026240
1120766859a7
12b38b52000
135c6931048
14341dc845a
151d7047e60
hex121eb2680

4864026240 has 512 divisors, whose sum is σ = 18083865600. Its totient is φ = 1234501632.

The previous prime is 4864026221. The next prime is 4864026241. The reversal of 4864026240 is 426204684.

It is a happy number.

4864026240 is a `hidden beast` number, since 4 + 8 + 6 + 402 + 6 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4864026195 and 4864026204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864026241) 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, 43044424 + ... + 43044536.

It is an arithmetic number, because the mean of its divisors is an integer number (35320050).

Almost surely, 24864026240 is an apocalyptic number.

4864026240 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 4864026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041932800).

4864026240 is an abundant number, since it is smaller than the sum of its proper divisors (13219839360).

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

4864026240 is a wasteful number, since it uses less digits than its factorization.

4864026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4864026240 is about 69742.5712172988. The cubic root of 4864026240 is about 1694.3324805170.

The spelling of 4864026240 in words is "four billion, eight hundred sixty-four million, twenty-six thousand, two hundred forty".