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2430217056 = 25353477637
BaseRepresentation
bin1001000011011010…
…0010101101100000
320021100212211002010
42100312202231200
514434113421211
61041051552520
7114136334631
oct22066425540
96240784063
102430217056
111037881053
12579a5b740
132c9638677
14190a87888
15e35444a6
hex90da2b60

2430217056 has 48 divisors (see below), whose sum is σ = 6499697904. Its totient is φ = 794786304.

The previous prime is 2430217051. The next prime is 2430217057. The reversal of 2430217056 is 6507120342.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430217051) 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 7 ways as a sum of consecutive naturals, for example, 233731 + ... + 243906.

It is an arithmetic number, because the mean of its divisors is an integer number (135410373).

Almost surely, 22430217056 is an apocalyptic number.

It is an amenable number.

2430217056 is an abundant number, since it is smaller than the sum of its proper divisors (4069480848).

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

2430217056 is a wasteful number, since it uses less digits than its factorization.

2430217056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477703 (or 477695 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2430217056 is about 49297.2317275524. The cubic root of 2430217056 is about 1344.4614522317.

Adding to 2430217056 its reverse (6507120342), we get a palindrome (8937337398).

The spelling of 2430217056 in words is "two billion, four hundred thirty million, two hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 477637 955274 1432911 1910548 2865822 3821096 5731644 7642192 11463288 15284384 22926576 25314761 45853152 50629522 75944283 101259044 151888566 202518088 303777132 405036176 607554264 810072352 1215108528 2430217056