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55500 = 2235337
BaseRepresentation
bin1101100011001100
32211010120
431203030
53234000
61104540
7320544
oct154314
984116
1055500
1138775
1228150
131c353
1416324
15116a0
hexd8cc

55500 has 48 divisors (see below), whose sum is σ = 165984. Its totient is φ = 14400.

The previous prime is 55487. The next prime is 55501. The reversal of 55500 is 555.

55500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 55500.

It is not an unprimeable number, because it can be changed into a prime (55501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482 + ... + 1518.

It is an arithmetic number, because the mean of its divisors is an integer number (3458).

255500 is an apocalyptic number.

55500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82992).

55500 is an abundant number, since it is smaller than the sum of its proper divisors (110484).

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

55500 is a wasteful number, since it uses less digits than its factorization.

55500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 15.

The square root of 55500 is about 235.5843797878. The cubic root of 55500 is about 38.1444181293.

55500 divided by its product of nonzero digits (125) gives a palindrome (444).

Subtracting from 55500 its reverse (555), we obtain a palindrome (54945).

Multiplying 55500 by its reverse (555), we get a square (30802500 = 55502).

55500 divided by its reverse (555) gives a square (100 = 102).

It can be divided in two parts, 55 and 500, that added together give a palindrome (555).

The spelling of 55500 in words is "fifty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 125 148 150 185 222 250 300 370 375 444 500 555 740 750 925 1110 1500 1850 2220 2775 3700 4625 5550 9250 11100 13875 18500 27750 55500