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48224 = 2511137
BaseRepresentation
bin1011110001100000
32110011002
423301200
53020344
61011132
7260411
oct136140
973132
1048224
1133260
1223aa8
1318c47
1413808
15e44e
hexbc60

48224 has 24 divisors (see below), whose sum is σ = 104328. Its totient is φ = 21760.

The previous prime is 48221. The next prime is 48239. The reversal of 48224 is 42284.

48224 is nontrivially palindromic in base 15.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48196 and 48205.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48224.

It is not an unprimeable number, because it can be changed into a prime (48221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (4347).

248224 is an apocalyptic number.

48224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52164).

48224 is an abundant number, since it is smaller than the sum of its proper divisors (56104).

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

48224 is a wasteful number, since it uses less digits than its factorization.

48224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 48224 is about 219.5996357010. The cubic root of 48224 is about 36.3988567849.

It can be divided in two parts, 48 and 224, that added together give a palindrome (272).

The spelling of 48224 in words is "forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 274 352 548 1096 1507 2192 3014 4384 6028 12056 24112 48224