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4512334032 = 243240217793
BaseRepresentation
bin1000011001111010…
…01100000011010000
3102122110202022121200
410030331030003100
533220124142112
62023430551200
7216551130543
oct41475140320
912573668550
104512334032
111a06105388
12a5b208500
1356bb0484b
1430b3da85a
151b6227cdc
hex10cf4c0d0

4512334032 has 60 divisors (see below), whose sum is σ = 12633029604. Its totient is φ = 1503544320.

The previous prime is 4512334031. The next prime is 4512334037. The reversal of 4512334032 is 2304332154.

It can be written as a sum of positive squares in 2 ways, for example, as 2452626576 + 2059707456 = 49524^2 + 45384^2 .

It is a super-2 number, since 2×45123340322 = 40722316832690754048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4512333987 and 4512334005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4512334031) 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 11 ways as a sum of consecutive naturals, for example, 575128 + ... + 582920.

Almost surely, 24512334032 is an apocalyptic number.

It is an amenable number.

4512334032 is an abundant number, since it is smaller than the sum of its proper divisors (8120695572).

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

4512334032 is a wasteful number, since it uses less digits than its factorization.

4512334032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11828 (or 11819 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4512334032 is about 67173.9088634866. The cubic root of 4512334032 is about 1652.4706216421.

Adding to 4512334032 its reverse (2304332154), we get a palindrome (6816666186).

The spelling of 4512334032 in words is "four billion, five hundred twelve million, three hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4021 7793 8042 12063 15586 16084 23379 24126 31172 32168 36189 46758 48252 62344 64336 70137 72378 93516 96504 124688 140274 144756 187032 193008 280548 289512 374064 561096 579024 1122192 31335653 62671306 94006959 125342612 188013918 250685224 282020877 376027836 501370448 564041754 752055672 1128083508 1504111344 2256167016 4512334032