Search a number
-
+
39443946025 = 521122321572
BaseRepresentation
bin100100101111000010…
…101101101000101001
310202210220202001211211
4210233002231220221
51121240122233100
630041552353121
72564313003121
oct445702555051
9122726661754
1039443946025
1115801096500
1277898457a1
133947b02643
141ca27c3c81
15105cc9a1ba
hex92f0ada29

39443946025 has 81 divisors (see below), whose sum is σ = 56560431333. Its totient is φ = 27264494400.

The previous prime is 39443946011. The next prime is 39443946029. The reversal of 39443946025 is 52064934493.

It is a happy number.

The square root of 39443946025 is 198605.

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 4770526761 + 34673419264 = 69069^2 + 186208^2 .

It is not a de Polignac number, because 39443946025 - 25 = 39443945993 is a prime.

It is a super-2 number, since 2×394439460252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 39443946025.

It is not an unprimeable number, because it can be changed into a prime (39443946029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 251235247 + ... + 251235403.

Almost surely, 239443946025 is an apocalyptic number.

39443946025 is the 198605-th square number.

39443946025 is the 99303-rd centered octagonal number.

It is an amenable number.

39443946025 is a deficient number, since it is larger than the sum of its proper divisors (17116485308).

39443946025 is a wasteful number, since it uses less digits than its factorization.

39443946025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 49.

Multiplying 39443946025 by its sum of digits (49), we get a square (1932753355225 = 13902352).

The spelling of 39443946025 in words is "thirty-nine billion, four hundred forty-three million, nine hundred forty-six thousand, twenty-five".

Divisors: 1 5 11 23 25 55 115 121 157 253 275 529 575 605 785 1265 1727 2645 2783 3025 3611 3925 5819 6325 8635 13225 13915 18055 18997 24649 29095 39721 43175 64009 69575 83053 90275 94985 123245 145475 198605 271139 320045 415265 436931 474925 566927 616225 913583 993025 1355695 1600225 2076325 2184655 2834635 2982529 4567915 6236197 6778475 10049413 10923275 13039321 14173175 14912645 22839575 31180985 50247065 65196605 68598167 74563225 143432531 155904925 251235325 325983025 342990835 717162655 1577757841 1714954175 3585813275 7888789205 39443946025