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5252027040 = 253551310391
BaseRepresentation
bin1001110010000101…
…11001001010100000
3111120000121121200000
410321002321022200
541224004331130
62225053100000
7244102331121
oct47102711240
914500547600
105252027040
1122556a5717
121026a87600
13659130b10
1437b748048
1520b13b260
hex1390b92a0

5252027040 has 288 divisors, whose sum is σ = 20017984896. Its totient is φ = 1292682240.

The previous prime is 5252027017. The next prime is 5252027047. The reversal of 5252027040 is 407202525.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5252026995 and 5252027013.

It is not an unprimeable number, because it can be changed into a prime (5252027047) 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 47 ways as a sum of consecutive naturals, for example, 500245 + ... + 510635.

It is an arithmetic number, because the mean of its divisors is an integer number (69506892).

Almost surely, 25252027040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5252027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10008992448).

5252027040 is an abundant number, since it is smaller than the sum of its proper divisors (14765957856).

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

5252027040 is a wasteful number, since it uses less digits than its factorization.

5252027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 5252027040 is about 72470.8702859294. The cubic root of 5252027040 is about 1738.2369776309.

Adding to 5252027040 its reverse (407202525), we get a palindrome (5659229565).

The spelling of 5252027040 in words is "five billion, two hundred fifty-two million, twenty-seven thousand, forty".