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54014525 = 5217731741
BaseRepresentation
bin1100111000001…
…1001000111101
310202122012222222
43032003020331
5102311431100
65205415125
71224054515
oct316031075
9122565888
1054014525
1128542a04
121610a4a5
13b262776
147260845
154b1e485
hex338323d

54014525 has 24 divisors (see below), whose sum is σ = 71930664. Its totient is φ = 40089600.

The previous prime is 54014509. The next prime is 54014533. The reversal of 54014525 is 52541045.

54014525 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 12 ways, for example, as 23951236 + 30063289 = 4894^2 + 5483^2 .

It is not a de Polignac number, because 54014525 - 24 = 54014509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54014494 and 54014503.

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 23 ways as a sum of consecutive naturals, for example, 30155 + ... + 31895.

It is an arithmetic number, because the mean of its divisors is an integer number (2997111).

Almost surely, 254014525 is an apocalyptic number.

It is an amenable number.

54014525 is a deficient number, since it is larger than the sum of its proper divisors (17916139).

54014525 is a wasteful number, since it uses less digits than its factorization.

54014525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 54014525 is about 7349.4574629696. The cubic root of 54014525 is about 378.0102014734.

The spelling of 54014525 in words is "fifty-four million, fourteen thousand, five hundred twenty-five".

Divisors: 1 5 17 25 73 85 365 425 1241 1741 1825 6205 8705 29597 31025 43525 127093 147985 635465 739925 2160581 3177325 10802905 54014525