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55024 = 2419181
BaseRepresentation
bin1101011011110000
32210110221
431123300
53230044
61102424
7316264
oct153360
983427
1055024
1138382
1227a14
131c078
14160a4
1511484
hexd6f0

55024 has 20 divisors (see below), whose sum is σ = 112840. Its totient is φ = 25920.

The previous prime is 55021. The next prime is 55049. The reversal of 55024 is 42055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 54989 and 55007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214 + ... + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (5642).

255024 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 55024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56420).

55024 is an abundant number, since it is smaller than the sum of its proper divisors (57816).

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

55024 is a wasteful number, since it uses less digits than its factorization.

55024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 55024 is about 234.5719505823. The cubic root of 55024 is about 38.0350553704.

Adding to 55024 its reverse (42055), we get a palindrome (97079).

The spelling of 55024 in words is "fifty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 181 304 362 724 1448 2896 3439 6878 13756 27512 55024