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55404 = 223619
BaseRepresentation
bin1101100001101100
32211000000
431201230
53233104
61104300
7320346
oct154154
984000
1055404
1138698
1228090
131c2ab
1416296
1511639
hexd86c

55404 has 42 divisors (see below), whose sum is σ = 153020. Its totient is φ = 17496.

The previous prime is 55399. The next prime is 55411. The reversal of 55404 is 40455.

It is a happy number.

55404 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2907 + ... + 2925.

255404 is an apocalyptic number.

55404 is a gapful number since it is divisible by the number (54) 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 55404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76510).

55404 is an abundant number, since it is smaller than the sum of its proper divisors (97616).

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

55404 is a wasteful number, since it uses less digits than its factorization.

55404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 55404 is about 235.3805429512. The cubic root of 55404 is about 38.1224122583.

Adding to 55404 its reverse (40455), we get a palindrome (95859).

The spelling of 55404 in words is "fifty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 729 972 1026 1458 1539 2052 2916 3078 4617 6156 9234 13851 18468 27702 55404