Search a number
-
+
55998 = 2331761
BaseRepresentation
bin1101101010111110
32211211000
431222332
53242443
61111130
7322155
oct155276
984730
1055998
1139088
12284a6
131c647
141659c
15118d3
hexdabe

55998 has 32 divisors (see below), whose sum is σ = 133920. Its totient is φ = 17280.

The previous prime is 55997. The next prime is 56003. The reversal of 55998 is 89955.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55997) 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 15 ways as a sum of consecutive naturals, for example, 888 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

255998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

55998 is an abundant number, since it is smaller than the sum of its proper divisors (77922).

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

55998 is a wasteful number, since it uses less digits than its factorization.

55998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 55998 is about 236.6389655150. The cubic root of 55998 is about 38.2581681902.

The spelling of 55998 in words is "fifty-five thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 102 122 153 183 306 366 459 549 918 1037 1098 1647 2074 3111 3294 6222 9333 18666 27999 55998