Search a number
54404 = 2272967
BaseRepresentation
bin1101010010000100
32202121222
431102010
53220104
61055512
7314420
oct152204
982558
1054404
1137969
1227598
131b9bc
1415b80
15111be
hexd484

54404 has 24 divisors (see below), whose sum is σ = 114240. Its totient is φ = 22176.

The previous prime is 54403. The next prime is 54409. The reversal of 54404 is 40445.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54401) 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, 779 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (4760).

254404 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 54404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57120).

54404 is an abundant number, since it is smaller than the sum of its proper divisors (59836).

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

54404 is a wasteful number, since it uses less digits than its factorization.

54404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 54404 is about 233.2466505654. The cubic root of 54404 is about 37.8916581590.

Adding to 54404 its reverse (40445), we get a palindrome (94849).

The spelling of 54404 in words is "fifty-four thousand, four hundred four".