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55818 = 2327443
BaseRepresentation
bin1101101000001010
32211120100
431220022
53241233
61110230
7321510
oct155012
984510
1055818
1138a34
1228376
131c539
14164b0
1511813
hexda0a

55818 has 24 divisors (see below), whose sum is σ = 138528. Its totient is φ = 15912.

The previous prime is 55817. The next prime is 55819. The reversal of 55818 is 81855.

It is an interprime number because it is at equal distance from previous prime (55817) and next prime (55819).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55791 and 55800.

It is not an unprimeable number, because it can be changed into a prime (55813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (5772).

255818 is an apocalyptic number.

55818 is an abundant number, since it is smaller than the sum of its proper divisors (82710).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69264).

55818 is a wasteful number, since it uses less digits than its factorization.

55818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 455 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 55818 is about 236.2583331864. The cubic root of 55818 is about 38.2171318312.

It can be divided in two parts, 558 and 18, that added together give a square (576 = 242).

The spelling of 55818 in words is "fifty-five thousand, eight hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 443 886 1329 2658 3101 3987 6202 7974 9303 18606 27909 55818