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540518625 = 3253480461
BaseRepresentation
bin100000001101111…
…010100011100001
31101200002012011100
4200031322203201
52101333044000
6125345105013
716252222023
oct4015724341
91350065140
10540518625
11258121709
12131028169
1387ca0a0a
1451b02013
15326bda00
hex2037a8e1

540518625 has 24 divisors (see below), whose sum is σ = 974376936. Its totient is φ = 288276000.

The previous prime is 540518609. The next prime is 540518633. The reversal of 540518625 is 526815045.

540518625 is a `hidden beast` number, since 540 + 51 + 8 + 62 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 374544 + 540144081 = 612^2 + 23241^2 .

It is not a de Polignac number, because 540518625 - 24 = 540518609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540518625.

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 23 ways as a sum of consecutive naturals, for example, 239106 + ... + 241355.

It is an arithmetic number, because the mean of its divisors is an integer number (40599039).

Almost surely, 2540518625 is an apocalyptic number.

It is an amenable number.

540518625 is a deficient number, since it is larger than the sum of its proper divisors (433858311).

540518625 is a wasteful number, since it uses less digits than its factorization.

540518625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480482 (or 480469 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 540518625 is about 23249.0564324662. The cubic root of 540518625 is about 814.5858987556.

The spelling of 540518625 in words is "five hundred forty million, five hundred eighteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 480461 1441383 2402305 4324149 7206915 12011525 21620745 36034575 60057625 108103725 180172875 540518625