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54366741 = 33111314081
BaseRepresentation
bin1100111101100…
…1001000010101
310210022010011000
43033121020111
5102404213431
65221133513
71230052422
oct317311025
9123263130
1054366741
11287635a0
121625a299
13b356b90
147312d49
154b8d9e6
hex33d9215

54366741 has 32 divisors (see below), whose sum is σ = 94631040. Its totient is φ = 30412800.

The previous prime is 54366737. The next prime is 54366751. The reversal of 54366741 is 14766345.

It is a happy number.

54366741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54366741 - 22 = 54366737 is a prime.

It is a super-2 number, since 2×543667412 = 5911485053922162, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54366696 and 54366705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54366721) 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 31 ways as a sum of consecutive naturals, for example, 3180 + ... + 10901.

It is an arithmetic number, because the mean of its divisors is an integer number (2957220).

Almost surely, 254366741 is an apocalyptic number.

It is an amenable number.

54366741 is a deficient number, since it is larger than the sum of its proper divisors (40264299).

54366741 is a wasteful number, since it uses less digits than its factorization.

54366741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14114 (or 14108 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 54366741 is about 7373.3805679620. The cubic root of 54366741 is about 378.8300605189.

The spelling of 54366741 in words is "fifty-four million, three hundred sixty-six thousand, seven hundred forty-one".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3861 14081 42243 126729 154891 183053 380187 464673 549159 1394019 1647477 2013583 4182057 4942431 6040749 18122247 54366741