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BaseRepresentation
bin1011101110011000
32102212200
423232120
53014044
61010200
7260004
oct135630
972780
1048024
1133099
1223960
1318b22
1413704
15e369
hexbb98

48024 has 48 divisors (see below), whose sum is σ = 140400. Its totient is φ = 14784.

The previous prime is 48023. The next prime is 48029. The reversal of 48024 is 42084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 47988 and 48006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1642 + ... + 1670.

It is an arithmetic number, because the mean of its divisors is an integer number (2925).

248024 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 48024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70200).

48024 is an abundant number, since it is smaller than the sum of its proper divisors (92376).

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

48024 is a wasteful number, since it uses less digits than its factorization.

48024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 48024 is about 219.1437884130. The cubic root of 48024 is about 36.3484679161.

The spelling of 48024 in words is "forty-eight thousand, twenty-four".