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4442089201 = 112732832
BaseRepresentation
bin1000010001100010…
…01110011011110001
3102110120120111211021
410020301032123301
533044133323301
62012441215441
7215036064244
oct41061163361
912416514737
104442089201
11197a497400
12a3b791581
1355a3ab764
14301d5325b
151aee9e8a1
hex108c4e6f1

4442089201 has 27 divisors (see below), whose sum is σ = 5010790827. Its totient is φ = 3934956960.

The previous prime is 4442089193. The next prime is 4442089207. The reversal of 4442089201 is 1029802444.

The square root of 4442089201 is 66649.

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

It can be written as a sum of positive squares in only one way, i.e., 2521546225 + 1920542976 = 50215^2 + 43824^2 .

It is not a de Polignac number, because 4442089201 - 23 = 4442089193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4442089207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53519106 + ... + 53519188.

Almost surely, 24442089201 is an apocalyptic number.

4442089201 is the 66649-th square number.

4442089201 is the 33325-th centered octagonal number.

It is an amenable number.

4442089201 is a deficient number, since it is larger than the sum of its proper divisors (568701626).

4442089201 is an frugal number, since it uses more digits than its factorization.

4442089201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The cubic root of 4442089201 is about 1643.8509050790.

The spelling of 4442089201 in words is "four billion, four hundred forty-two million, eighty-nine thousand, two hundred one".

Divisors: 1 11 73 83 121 803 913 5329 6059 6889 8833 10043 58619 66649 75779 442307 502897 644809 733139 833569 4865377 5531867 36711481 53519147 60850537 403826291 4442089201