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54148257 = 341096133
BaseRepresentation
bin1100111010001…
…1110010100001
310202220000110000
43032203302201
5102330221012
65212330213
71225152432
oct316436241
9122800400
1054148257
1128624429
1216173969
13b2ab5b7
147297489
154b48ddc
hex33a3ca1

54148257 has 20 divisors (see below), whose sum is σ = 81643540. Its totient is φ = 35761824.

The previous prime is 54148243. The next prime is 54148319. The reversal of 54148257 is 75284145.

54148257 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 2 ways, for example, as 46662561 + 7485696 = 6831^2 + 2736^2 .

It is not a de Polignac number, because 54148257 - 28 = 54148001 is a prime.

It is a super-2 number, since 2×541482572 = 5864067472276098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54148207) 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, 5763 + ... + 11895.

It is an arithmetic number, because the mean of its divisors is an integer number (4082177).

Almost surely, 254148257 is an apocalyptic number.

It is an amenable number.

54148257 is a deficient number, since it is larger than the sum of its proper divisors (27495283).

54148257 is a wasteful number, since it uses less digits than its factorization.

54148257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6245 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 54148257 is about 7358.5499250871. The cubic root of 54148257 is about 378.3219102082.

The spelling of 54148257 in words is "fifty-four million, one hundred forty-eight thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 81 109 327 981 2943 6133 8829 18399 55197 165591 496773 668497 2005491 6016473 18049419 54148257