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2444610249 = 32164812
BaseRepresentation
bin1001000110110101…
…1100101011001001
320022100222001211100
42101231130223021
520001310011444
61042324252013
7114402562404
oct22155345311
96270861740
102444610249
111044a11954
12582841009
132cc607a53
14192952d3b
15e4938e69
hex91b5cac9

2444610249 has 9 divisors (see below), whose sum is σ = 3531317959. Its totient is φ = 1629641280.

The previous prime is 2444610209. The next prime is 2444610271. The reversal of 2444610249 is 9420164442.

It is a happy number.

The square root of 2444610249 is 49443.

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

2444610249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 979251849 + 1465358400 = 31293^2 + 38280^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2444610249 - 225 = 2411055817 is a prime.

It is a super-2 number, since 2×24446102492 = 11952238539031684002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2444610209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140089 + ... + 156569.

Almost surely, 22444610249 is an apocalyptic number.

2444610249 is the 49443-rd square number.

2444610249 is the 24722-nd centered octagonal number.

It is an amenable number.

2444610249 is a deficient number, since it is larger than the sum of its proper divisors (1086707710).

2444610249 is an frugal number, since it uses more digits than its factorization.

2444610249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32968 (or 16484 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 2444610249 is about 1347.1104632766.

Multiplying 2444610249 by its sum of digits (36), we get a square (88005968964 = 2966582).

The spelling of 2444610249 in words is "two billion, four hundred forty-four million, six hundred ten thousand, two hundred forty-nine".

Divisors: 1 3 9 16481 49443 148329 271623361 814870083 2444610249