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48312 = 23321161
BaseRepresentation
bin1011110010111000
32110021100
423302320
53021222
61011400
7260565
oct136270
973240
1048312
1133330
1223b60
1318cb4
141386c
15e4ac
hexbcb8

48312 has 48 divisors (see below), whose sum is σ = 145080. Its totient is φ = 14400.

The previous prime is 48311. The next prime is 48313. The reversal of 48312 is 21384.

Adding to 48312 its reverse (21384), we get a palindrome (69696).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48311) and next prime (48313).

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

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

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 11.

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 48312.

It is not an unprimeable number, because it can be changed into a prime (48311) 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, 762 + ... + 822.

248312 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 48312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72540).

48312 is an abundant number, since it is smaller than the sum of its proper divisors (96768).

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

48312 is a wasteful number, since it uses less digits than its factorization.

48312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 48312 is about 219.7999090082. The cubic root of 48312 is about 36.4209837550.

The spelling of 48312 in words is "forty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 61 66 72 88 99 122 132 183 198 244 264 366 396 488 549 671 732 792 1098 1342 1464 2013 2196 2684 4026 4392 5368 6039 8052 12078 16104 24156 48312