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4050505225 = 5213611731181
BaseRepresentation
bin1111000101101101…
…1100111000001001
3101110021201222121001
43301123130320021
531243412131400
61505532215001
7202242504064
oct36133347011
911407658531
104050505225
11179944a588
1295060a461
134c7225a70
142a5d3d8db
1518a8eea6a
hexf16dce09

4050505225 has 48 divisors (see below), whose sum is σ = 5534114544. Its totient is φ = 2922624000.

The previous prime is 4050505219. The next prime is 4050505247. The reversal of 4050505225 is 5225050504.

It can be written as a sum of positive squares in 24 ways, for example, as 2633434489 + 1417070736 = 51317^2 + 37644^2 .

It is not a de Polignac number, because 4050505225 - 27 = 4050505097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4050505193 and 4050505202.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3429135 + ... + 3430315.

It is an arithmetic number, because the mean of its divisors is an integer number (115294053).

Almost surely, 24050505225 is an apocalyptic number.

It is an amenable number.

4050505225 is a deficient number, since it is larger than the sum of its proper divisors (1483609319).

4050505225 is a wasteful number, since it uses less digits than its factorization.

4050505225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 4050505225 is about 63643.5796054873. The cubic root of 4050505225 is about 1594.0541327063.

Adding to 4050505225 its reverse (5225050504), we get a palindrome (9275555729).

The spelling of 4050505225 in words is "four billion, fifty million, five hundred five thousand, two hundred twenty-five".

Divisors: 1 5 13 25 61 65 173 305 325 793 865 1181 1525 2249 3965 4325 5905 10553 11245 15353 19825 29525 52765 56225 72041 76765 137189 204313 263825 360205 383825 685945 936533 1021565 1801025 2656069 3429725 4682665 5107825 12463093 13280345 23413325 62315465 66401725 162020209 311577325 810101045 4050505225