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48330 = 2335179
BaseRepresentation
bin1011110011001010
32110022000
423303022
53021310
61011430
7260622
oct136312
973260
1048330
1133347
1223b76
1318cc9
1413882
15e4c0
hexbcca

48330 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 12816.

The previous prime is 48313. The next prime is 48337. The reversal of 48330 is 3384.

It can be divided in two parts, 48 and 330, that added together give a triangular number (378 = T27).

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

It is a Curzon number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (48337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

248330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

48330 is an abundant number, since it is smaller than the sum of its proper divisors (81270).

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

48330 is a wasteful number, since it uses less digits than its factorization.

48330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 48330 is about 219.8408515267. The cubic root of 48330 is about 36.4255064154.

The spelling of 48330 in words is "forty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 179 270 358 537 895 1074 1611 1790 2685 3222 4833 5370 8055 9666 16110 24165 48330