Search a number
-
+
36140625 = 3256257
BaseRepresentation
bin1000100111011…
…1011001010001
32112000010121200
42021313121101
533223000000
63330341413
7616122153
oct211673121
975003550
1036140625
1119444a94
121012a869
137644cb1
144b2aad3
15328d500
hex2277651

36140625 has 42 divisors (see below), whose sum is σ = 65506974. Its totient is φ = 19200000.

The previous prime is 36140617. The next prime is 36140653. The reversal of 36140625 is 52604163.

36140625 is a `hidden beast` number, since 36 + 1 + 4 + 0 + 625 = 666.

36140625 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 7 ways, for example, as 33039504 + 3101121 = 5748^2 + 1761^2 .

It is not a de Polignac number, because 36140625 - 23 = 36140617 is a prime.

It is a super-2 number, since 2×361406252 = 2612289550781250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 140497 + ... + 140753.

Almost surely, 236140625 is an apocalyptic number.

It is an amenable number.

36140625 is a deficient number, since it is larger than the sum of its proper divisors (29366349).

36140625 is an frugal number, since it uses more digits than its factorization.

36140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36140625 is about 6011.7073282055. The cubic root of 36140625 is about 330.6221047294.

Adding to 36140625 its reverse (52604163), we get a palindrome (88744788).

It can be divided in two parts, 36 and 140625, that multiplied together give a square (5062500 = 22502).

The spelling of 36140625 in words is "thirty-six million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 257 375 625 771 1125 1285 1875 2313 3125 3855 5625 6425 9375 11565 15625 19275 28125 32125 46875 57825 96375 140625 160625 289125 481875 803125 1445625 2409375 4015625 7228125 12046875 36140625