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54005385 = 3573713901
BaseRepresentation
bin1100111000000…
…0111010001001
310202121202110110
43032000322021
5102311133020
65205304533
71224016050
oct316007211
9122552413
1054005385
1128537055
1216105149
13b25b565
14725b397
154b1b8e0
hex3380e89

54005385 has 32 divisors (see below), whose sum is σ = 101428992. Its totient is φ = 24019200.

The previous prime is 54005363. The next prime is 54005387. The reversal of 54005385 is 58350045.

It is not a de Polignac number, because 54005385 - 26 = 54005321 is a prime.

It is a super-3 number, since 3×540053853 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (54005387) 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 31 ways as a sum of consecutive naturals, for example, 3066 + ... + 10835.

It is an arithmetic number, because the mean of its divisors is an integer number (3169656).

Almost surely, 254005385 is an apocalyptic number.

It is an amenable number.

54005385 is a deficient number, since it is larger than the sum of its proper divisors (47423607).

54005385 is a wasteful number, since it uses less digits than its factorization.

54005385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13953.

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 54005385 is about 7348.8356220561. The cubic root of 54005385 is about 377.9888787635.

The spelling of 54005385 in words is "fifty-four million, five thousand, three hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 37 105 111 185 259 555 777 1295 3885 13901 41703 69505 97307 208515 291921 486535 514337 1459605 1543011 2571685 3600359 7715055 10801077 18001795 54005385