Search a number
-
+
54783 = 332029
BaseRepresentation
bin1101010111111111
32210011000
431113333
53223113
61101343
7315501
oct152777
983130
1054783
1138183
1227853
131bc21
1415d71
1511373
hexd5ff

54783 has 8 divisors (see below), whose sum is σ = 81200. Its totient is φ = 36504.

The previous prime is 54779. The next prime is 54787. The reversal of 54783 is 38745.

Added to its reverse (38745) it gives a triangular number (93528 = T432).

54783 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (54779) and next prime (54787).

It is not a de Polignac number, because 54783 - 22 = 54779 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2029 = 54783 / (5 + 4 + 7 + 8 + 3).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

54783 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54787) 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 7 ways as a sum of consecutive naturals, for example, 988 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (10150).

254783 is an apocalyptic number.

54783 is a deficient number, since it is larger than the sum of its proper divisors (26417).

54783 is a wasteful number, since it uses less digits than its factorization.

54783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2032 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 54783 is about 234.0576851975. The cubic root of 54783 is about 37.9794440994.

Subtracting from 54783 its sum of digits (27), we obtain a square (54756 = 2342).

Adding to 54783 its reverse (38745), we get a triangular number (93528 = T432).

It can be divided in two parts, 547 and 83, that added together give a triangular number (630 = T35).

The spelling of 54783 in words is "fifty-four thousand, seven hundred eighty-three".

Divisors: 1 3 9 27 2029 6087 18261 54783