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60048 = 2433139
BaseRepresentation
bin1110101010010000
310001101000
432222100
53410143
61142000
7340032
oct165220
9101330
1060048
114112a
122a900
1321441
1417c52
1512bd3
hexea90

60048 has 40 divisors (see below), whose sum is σ = 173600. Its totient is φ = 19872.

The previous prime is 60041. The next prime is 60077. The reversal of 60048 is 84006.

60048 is nontrivially palindromic in base 5.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 4 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 60048.

It is not an unprimeable number, because it can be changed into a prime (60041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 363 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

260048 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 60048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86800).

60048 is an abundant number, since it is smaller than the sum of its proper divisors (113552).

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

60048 is a wasteful number, since it uses less digits than its factorization.

60048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

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

The square root of 60048 is about 245.0469342799. The cubic root of 60048 is about 39.1591132761.

The spelling of 60048 in words is "sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 139 144 216 278 417 432 556 834 1112 1251 1668 2224 2502 3336 3753 5004 6672 7506 10008 15012 20016 30024 60048