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54444 = 22313349
BaseRepresentation
bin1101010010101100
32202200110
431102230
53220234
61100020
7314505
oct152254
982613
1054444
11379a5
1227610
131ba20
1415bac
15111e9
hexd4ac

54444 has 24 divisors (see below), whose sum is σ = 137200. Its totient is φ = 16704.

The previous prime is 54443. The next prime is 54449. The reversal of 54444 is 44445.

Adding to 54444 its reverse (44445), we get a palindrome (98889).

Subtracting from 54444 its reverse (44445), we obtain a palindrome (9999).

54444 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 nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 54444.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54444.

It is not an unprimeable number, because it can be changed into a prime (54443) 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, 19 + ... + 330.

254444 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 54444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68600).

54444 is an abundant number, since it is smaller than the sum of its proper divisors (82756).

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

54444 is a wasteful number, since it uses less digits than its factorization.

54444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its digits is 1280, while the sum is 21.

The square root of 54444 is about 233.3323809504. The cubic root of 54444 is about 37.9009423723.

The spelling of 54444 in words is "fifty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 349 698 1047 1396 2094 4188 4537 9074 13611 18148 27222 54444