Search a number
-
+
1003939225 = 5263372
BaseRepresentation
bin111011110101101…
…110010110011001
32120222002101201021
4323311232112121
54024002023400
6243341522441
733610225342
oct7365562631
92528071637
101003939225
11475774443
12240273421
1312ccb91a3
14974950c9
155d20d71a
hex3bd6e599

1003939225 has 9 divisors (see below), whose sum is σ = 1245081117. Its totient is φ = 803024640.

The previous prime is 1003939217. The next prime is 1003939229. The reversal of 1003939225 is 5229393001.

The square root of 1003939225 is 31685.

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 84879369 + 919059856 = 9213^2 + 30316^2 .

It is not a de Polignac number, because 1003939225 - 23 = 1003939217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003939229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 155257 + ... + 161593.

Almost surely, 21003939225 is an apocalyptic number.

1003939225 is the 31685-th square number.

1003939225 is the 15843-rd centered octagonal number.

It is an amenable number.

1003939225 is a deficient number, since it is larger than the sum of its proper divisors (241141892).

1003939225 is an frugal number, since it uses more digits than its factorization.

1003939225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The cubic root of 1003939225 is about 1001.3113545974.

The spelling of 1003939225 in words is "one billion, three million, nine hundred thirty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 6337 31685 158425 40157569 200787845 1003939225