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48320 = 265151
BaseRepresentation
bin1011110011000000
32110021122
423303000
53021240
61011412
7260606
oct136300
973248
1048320
1133338
1223b68
1318cbc
1413876
15e4b5
hexbcc0

48320 has 28 divisors (see below), whose sum is σ = 115824. Its totient is φ = 19200.

The previous prime is 48313. The next prime is 48337. The reversal of 48320 is 2384.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48320.

It is an unprimeable number.

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, 245 + ... + 395.

248320 is an apocalyptic number.

48320 is a gapful number since it is divisible by the number (40) 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 48320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57912).

48320 is an abundant number, since it is smaller than the sum of its proper divisors (67504).

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

48320 is a wasteful number, since it uses less digits than its factorization.

48320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 48320 is about 219.8181066245. The cubic root of 48320 is about 36.4229939649.

The spelling of 48320 in words is "forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 151 160 302 320 604 755 1208 1510 2416 3020 4832 6040 9664 12080 24160 48320