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54918 = 235113
BaseRepresentation
bin1101011010000110
32210100000
431122012
53224133
61102130
7316053
oct153206
983300
1054918
1138296
1227946
131bcc6
141602a
1511413
hexd686

54918 has 24 divisors (see below), whose sum is σ = 124488. Its totient is φ = 18144.

The previous prime is 54917. The next prime is 54919. The reversal of 54918 is 81945.

54918 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54917) and next prime (54919).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 54891 and 54900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

254918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62244).

54918 is an abundant number, since it is smaller than the sum of its proper divisors (69570).

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

54918 is a wasteful number, since it uses less digits than its factorization.

54918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 54918 is about 234.3458981932. The cubic root of 54918 is about 38.0106156860.

Adding to 54918 its sum of digits (27), we get a palindrome (54945).

The spelling of 54918 in words is "fifty-four thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 243 339 486 678 1017 2034 3051 6102 9153 18306 27459 54918