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4433429056 = 2672292412
BaseRepresentation
bin1000010000100000…
…01100001001000000
3102102222021112100011
410020100030021000
533034424212211
62011531434304
7214602345100
oct41020141100
912388245304
104433429056
111975611961
12a388b5994
13558668a04
14300b3b200
151ae33d921
hex10840c240

4433429056 has 189 divisors, whose sum is σ = 10863806187. Its totient is φ = 1789777920.

The previous prime is 4433429053. The next prime is 4433429057. The reversal of 4433429056 is 6509243344.

The square root of 4433429056 is 66584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1170734656 + 3262694400 = 34216^2 + 57120^2 .

It is a super-2 number, since 2×44334290562 = 39310586389170102272, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4433429053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108132396 + ... + 108132436.

Almost surely, 24433429056 is an apocalyptic number.

4433429056 is the 66584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4433429056

4433429056 is an abundant number, since it is smaller than the sum of its proper divisors (6430377131).

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

4433429056 is an equidigital number, since it uses as much as digits as its factorization.

4433429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The cubic root of 4433429056 is about 1642.7819449631.

The spelling of 4433429056 in words is "four billion, four hundred thirty-three million, four hundred twenty-nine thousand, fifty-six".