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54018954 = 23311211431
BaseRepresentation
bin1100111000010…
…0001110001010
310202122110002000
43032010032022
5102312101304
65205451430
71224103443
oct316041612
9122573060
1054018954
1128546270
1216110b76
13b2647a2
1472622ca
154b20939
hex338438a

54018954 has 64 divisors (see below), whose sum is σ = 131880960. Its totient is φ = 16254000.

The previous prime is 54018949. The next prime is 54018959. The reversal of 54018954 is 45981045.

It is an interprime number because it is at equal distance from previous prime (54018949) and next prime (54018959).

54018954 is a modest number, since divided by 18954 gives 54 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54018959) 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, 125119 + ... + 125549.

It is an arithmetic number, because the mean of its divisors is an integer number (2060640).

Almost surely, 254018954 is an apocalyptic number.

54018954 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54018954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65940480).

54018954 is an abundant number, since it is smaller than the sum of its proper divisors (77862006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54018954 is a wasteful number, since it uses less digits than its factorization.

54018954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 54018954 is about 7349.7587715516. The cubic root of 54018954 is about 378.0205330242.

Adding to 54018954 its reverse (45981045), we get a palindrome (99999999).

The spelling of 54018954 in words is "fifty-four million, eighteen thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 211 297 422 431 594 633 862 1266 1293 1899 2321 2586 3798 3879 4642 4741 5697 6963 7758 9482 11394 11637 13926 14223 20889 23274 28446 41778 42669 62667 85338 90941 125334 128007 181882 256014 272823 545646 818469 1000351 1636938 2000702 2455407 3001053 4910814 6002106 9003159 18006318 27009477 54018954