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4456057608 = 233278672
BaseRepresentation
bin1000010011001101…
…00000101100001000
3102111112212011212200
410021212200230020
533111222320413
62014100440200
7215265602412
oct41146405410
912445764780
104456057608
111987368042
12a443a9060
1356025c6a2
14303b4b9b2
151b130d573
hex1099a0b08

4456057608 has 36 divisors (see below), whose sum is σ = 12070023615. Its totient is φ = 1485163728.

The previous prime is 4456057601. The next prime is 4456057637. The reversal of 4456057608 is 8067506544.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 2228028804 + 2228028804 = 47202^2 + 47202^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=47202.

It is not an unprimeable number, because it can be changed into a prime (4456057601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 562491 + ... + 570357.

Almost surely, 24456057608 is an apocalyptic number.

It is an amenable number.

4456057608 is an abundant number, since it is smaller than the sum of its proper divisors (7613966007).

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

4456057608 is an frugal number, since it uses more digits than its factorization.

4456057608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15746 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4456057608 is about 66753.7085711348. The cubic root of 4456057608 is about 1645.5721636269.

The spelling of 4456057608 in words is "four billion, four hundred fifty-six million, fifty-seven thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7867 15734 23601 31468 47202 62936 70803 94404 141606 188808 283212 566424 61889689 123779378 185669067 247558756 371338134 495117512 557007201 742676268 1114014402 1485352536 2228028804 4456057608