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4944199225 = 5276412
BaseRepresentation
bin1001001101011001…
…00111111000111001
3110202120101100021211
410212230213320321
540111203333400
62134335203121
7233344000000
oct44654477071
913676340254
104944199225
112107965069
12b5b9764a1
1360a422094
1434c8d7c37
151de0d2dba
hex126b27e39

4944199225 has 63 divisors (see below), whose sum is σ = 7331308141. Its totient is φ = 3307617600.

The previous prime is 4944199223. The next prime is 4944199229. The reversal of 4944199225 is 5229914494.

The square root of 4944199225 is 70315.

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 2081093161 + 2863106064 = 45619^2 + 53508^2 .

It is not a de Polignac number, because 4944199225 - 21 = 4944199223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4944199223) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 120590205 + ... + 120590245.

Almost surely, 24944199225 is an apocalyptic number.

4944199225 is the 70315-th square number.

4944199225 is the 35158-th centered octagonal number.

It is an amenable number.

4944199225 is a deficient number, since it is larger than the sum of its proper divisors (2387108916).

4944199225 is an frugal number, since it uses more digits than its factorization.

4944199225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 53 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The cubic root of 4944199225 is about 1703.5909359985.

Multiplying 4944199225 by its sum of digits (49), we get a square (242265762025 = 4922052).

4944199225 divided by its sum of digits (49) gives a square (100902025 = 100452).

The spelling of 4944199225 in words is "four billion, nine hundred forty-four million, one hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 41 49 175 205 245 287 343 1025 1225 1435 1681 1715 2009 2401 7175 8405 8575 10045 11767 12005 14063 16807 42025 50225 58835 60025 70315 82369 84035 98441 117649 294175 351575 411845 420175 492205 576583 588245 689087 2059225 2461025 2882915 2941225 3445435 4036081 4823609 14414575 17227175 20180405 24118045 28252567 100902025 120590225 141262835 197767969 706314175 988839845 4944199225