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48060 = 2233589
BaseRepresentation
bin1011101110111100
32102221000
423232330
53014220
61010300
7260055
oct135674
972830
1048060
1133121
1223990
1318b4c
141372c
15e390
hexbbbc

48060 has 48 divisors (see below), whose sum is σ = 151200. Its totient is φ = 12672.

The previous prime is 48049. The next prime is 48073. The reversal of 48060 is 6084.

48060 = T93 + T94 + ... + T102.

It is a super-3 number, since 3×480603 = 333021715848000, which contains 333 as substring.

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

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

48060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

248060 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 48060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

48060 is an abundant number, since it is smaller than the sum of its proper divisors (103140).

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

48060 is a wasteful number, since it uses less digits than its factorization.

48060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

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

The square root of 48060 is about 219.2259108773. The cubic root of 48060 is about 36.3575482232.

The spelling of 48060 in words is "forty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 267 270 356 445 534 540 801 890 1068 1335 1602 1780 2403 2670 3204 4005 4806 5340 8010 9612 12015 16020 24030 48060