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36048125 = 54137421
BaseRepresentation
bin1000100110000…
…0110011111101
32111211102201202
42021200303331
533212020000
63324345245
7615255401
oct211406375
974742652
1036048125
1119391543
12100a5225
137611b69
144b05101
153270dd5
hex2260cfd

36048125 has 20 divisors (see below), whose sum is σ = 45482316. Its totient is φ = 28560000.

The previous prime is 36048113. The next prime is 36048127. The reversal of 36048125 is 52184063.

36048125 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 10 ways, for example, as 34798201 + 1249924 = 5899^2 + 1118^2 .

It is not a de Polignac number, because 36048125 - 210 = 36047101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36048127) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 85415 + ... + 85835.

Almost surely, 236048125 is an apocalyptic number.

It is an amenable number.

36048125 is a deficient number, since it is larger than the sum of its proper divisors (9434191).

36048125 is an equidigital number, since it uses as much as digits as its factorization.

36048125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 36048125 is about 6004.0090772750. The cubic root of 36048125 is about 330.3397938644.

The spelling of 36048125 in words is "thirty-six million, forty-eight thousand, one hundred twenty-five".

Divisors: 1 5 25 125 137 421 625 685 2105 3425 10525 17125 52625 57677 85625 263125 288385 1441925 7209625 36048125