Search a number
-
+
55480 = 2351973
BaseRepresentation
bin1101100010111000
32211002211
431202320
53233410
61104504
7320515
oct154270
984084
1055480
1138757
1228134
131c339
141630c
151168a
hexd8b8

55480 has 32 divisors (see below), whose sum is σ = 133200. Its totient is φ = 20736.

The previous prime is 55469. The next prime is 55487. The reversal of 55480 is 8455.

It is a happy number.

55480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724 + ... + 796.

255480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66600).

55480 is an abundant number, since it is smaller than the sum of its proper divisors (77720).

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

55480 is a wasteful number, since it uses less digits than its factorization.

55480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 55480 is about 235.5419283270. The cubic root of 55480 is about 38.1398356667.

Adding to 55480 its product of nonzero digits (800), we get a triangular number (56280 = T335).

It can be divided in two parts, 55 and 480, that added together give a palindrome (535).

The spelling of 55480 in words is "fifty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 73 76 95 146 152 190 292 365 380 584 730 760 1387 1460 2774 2920 5548 6935 11096 13870 27740 55480