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4559423040 = 263354161211
BaseRepresentation
bin1000011111100001…
…10100011001000000
3102202202100200121000
410033300310121000
533314203014130
62032232132000
7220662312354
oct41760643100
912682320530
104559423040
111a2a748017
12a72b37000
135787b0c73
14313777464
151ba42a260
hex10fc34640

4559423040 has 448 divisors, whose sum is σ = 16826423040. Its totient is φ = 1161216000.

The previous prime is 4559423039. The next prime is 4559423051. The reversal of 4559423040 is 403249554.

It is a happy number.

4559423040 is a `hidden beast` number, since 4 + 5 + 594 + 23 + 0 + 40 = 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 = 4559422986 and 4559423004.

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 63 ways as a sum of consecutive naturals, for example, 21608535 + ... + 21608745.

It is an arithmetic number, because the mean of its divisors is an integer number (37558980).

Almost surely, 24559423040 is an apocalyptic number.

4559423040 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 4559423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413211520).

4559423040 is an abundant number, since it is smaller than the sum of its proper divisors (12267000000).

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

4559423040 is a wasteful number, since it uses less digits than its factorization.

4559423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4559423040 is about 67523.4999092908. The cubic root of 4559423040 is about 1658.1989272032.

The spelling of 4559423040 in words is "four billion, five hundred fifty-nine million, four hundred twenty-three thousand, forty".