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48216 = 2337241
BaseRepresentation
bin1011110001011000
32110010210
423301120
53020331
61011120
7260400
oct136130
973123
1048216
1133253
1223aa0
1318c3c
1413800
15e446
hexbc58

48216 has 48 divisors (see below), whose sum is σ = 143640. Its totient is φ = 13440.

The previous prime is 48197. The next prime is 48221. The reversal of 48216 is 61284.

48216 = 42 + 52 + ... + 522.

48216 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 Harshad number since it is a multiple of its sum of digits (21).

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

It is one of the 548 Lynch-Bell numbers.

Its product of digits (384) is a multiple of the sum of its prime factors (64).

48216 is a modest number, since divided by 216 gives 48 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 48192 and 48201.

It is a congruent number.

It is an unprimeable number.

48216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1156 + ... + 1196.

248216 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 48216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71820).

48216 is an abundant number, since it is smaller than the sum of its proper divisors (95424).

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

48216 is a wasteful number, since it uses less digits than its factorization.

48216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 48216 is about 219.5814199790. The cubic root of 48216 is about 36.3968439078.

The spelling of 48216 in words is "forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 49 56 82 84 98 123 147 164 168 196 246 287 294 328 392 492 574 588 861 984 1148 1176 1722 2009 2296 3444 4018 6027 6888 8036 12054 16072 24108 48216