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54004257 = 3217418609
BaseRepresentation
bin1100111000000…
…0101000100001
310202121200220200
43032000220201
5102311114012
65205255413
71224012546
oct316005041
9122550820
1054004257
112853621a
1216104569
13b25aba8
14725abcd
154b1b3dc
hex3380a21

54004257 has 24 divisors (see below), whose sum is σ = 84619080. Its totient is φ = 33054720.

The previous prime is 54004229. The next prime is 54004271. The reversal of 54004257 is 75240045.

54004257 is a `hidden beast` number, since 5 + 400 + 4 + 257 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 772641 + 53231616 = 879^2 + 7296^2 .

It is not a de Polignac number, because 54004257 - 27 = 54004129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54004257.

It is not an unprimeable number, because it can be changed into a prime (54004957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1969 + ... + 10577.

It is an arithmetic number, because the mean of its divisors is an integer number (3525795).

Almost surely, 254004257 is an apocalyptic number.

It is an amenable number.

54004257 is a deficient number, since it is larger than the sum of its proper divisors (30614823).

54004257 is a wasteful number, since it uses less digits than its factorization.

54004257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8673 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 54004257 is about 7348.7588748033. The cubic root of 54004257 is about 377.9862470851.

The spelling of 54004257 in words is "fifty-four million, four thousand, two hundred fifty-seven".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 6273 8609 25827 77481 146353 352969 439059 1058907 1317177 3176721 6000473 18001419 54004257