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54005393 = 136176733
BaseRepresentation
bin1100111000000…
…0111010010001
310202121202110202
43032000322101
5102311133033
65205304545
71224016061
oct316007221
9122552422
1054005393
1128537062
1216105155
13b25b570
14725b3a1
154b1b8e8
hex3380e91

54005393 has 8 divisors (see below), whose sum is σ = 58262568. Its totient is φ = 49762944.

The previous prime is 54005389. The next prime is 54005423. The reversal of 54005393 is 39350045.

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 50794129 = 1792^2 + 7127^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54005393 - 22 = 54005389 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54005363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4655 + ... + 11387.

It is an arithmetic number, because the mean of its divisors is an integer number (7282821).

Almost surely, 254005393 is an apocalyptic number.

It is an amenable number.

54005393 is a deficient number, since it is larger than the sum of its proper divisors (4257175).

54005393 is a wasteful number, since it uses less digits than its factorization.

54005393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7363.

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 54005393 is about 7348.8361663599. The cubic root of 54005393 is about 377.9888974278.

The spelling of 54005393 in words is "fifty-four million, five thousand, three hundred ninety-three".

Divisors: 1 13 617 6733 8021 87529 4154261 54005393