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4528085760 = 283351143277
BaseRepresentation
bin1000011011110010…
…10001101100000000
3102200120101120221000
410031321101230000
533233142221020
62025152332000
7220132044132
oct41571215400
912616346830
104528085760
111a13a93940
12a64544000
1357215b3b3
1430d53b052
151b77da090
hex10de51b00

4528085760 has 576 divisors, whose sum is σ = 18001589760. Its totient is φ = 1068318720.

The previous prime is 4528085759. The next prime is 4528085761. The reversal of 4528085760 is 675808254.

It is an interprime number because it is at equal distance from previous prime (4528085759) and next prime (4528085761).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (4528085761) 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, 16346742 + ... + 16347018.

It is an arithmetic number, because the mean of its divisors is an integer number (31252760).

Almost surely, 24528085760 is an apocalyptic number.

4528085760 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 4528085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9000794880).

4528085760 is an abundant number, since it is smaller than the sum of its proper divisors (13473504000).

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

4528085760 is a wasteful number, since it uses less digits than its factorization.

4528085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 4528085760 is about 67291.0525998814. The cubic root of 4528085760 is about 1654.3912122117.

The spelling of 4528085760 in words is "four billion, five hundred twenty-eight million, eighty-five thousand, seven hundred sixty".