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4500132840 = 2332574913637
BaseRepresentation
bin1000011000011101…
…01001001111101000
3102121121210102201200
410030032221033220
533204013222330
62022313244200
7216342332550
oct41416511750
912547712650
104500132840
1119aa231455
12a57103660
135694220c8
14309942160
151b5117a60
hex10c3a93e8

4500132840 has 192 divisors, whose sum is σ = 16753426560. Its totient is φ = 1026224640.

The previous prime is 4500132839. The next prime is 4500132841. The reversal of 4500132840 is 482310054.

4500132840 is a `hidden beast` number, since 450 + 0 + 132 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4500132839) and next prime (4500132841).

It is not an unprimeable number, because it can be changed into a prime (4500132841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1235502 + ... + 1239138.

It is an arithmetic number, because the mean of its divisors is an integer number (87257430).

Almost surely, 24500132840 is an apocalyptic number.

4500132840 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 4500132840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8376713280).

4500132840 is an abundant number, since it is smaller than the sum of its proper divisors (12253293720).

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

4500132840 is a wasteful number, since it uses less digits than its factorization.

4500132840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4500132840 is about 67083.0294485871. The cubic root of 4500132840 is about 1650.9798697695.

Adding to 4500132840 its reverse (482310054), we get a palindrome (4982442894).

It can be divided in two parts, 45001 and 32840, that added together give a square (77841 = 2792).

The spelling of 4500132840 in words is "four billion, five hundred million, one hundred thirty-two thousand, eight hundred forty".