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15048 = 23321119
BaseRepresentation
bin11101011001000
3202122100
43223020
5440143
6153400
761605
oct35310
922570
1015048
1110340
128860
136b07
1456ac
1546d3
hex3ac8

15048 has 48 divisors (see below), whose sum is σ = 46800. Its totient is φ = 4320.

The previous prime is 15031. The next prime is 15053. The reversal of 15048 is 84051.

15048 is digitally balanced in base 2, because in such base 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 (18).

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 15048.

It is an unprimeable number.

15048 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 783 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (975).

215048 is an apocalyptic number.

15048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23400).

15048 is an abundant number, since it is smaller than the sum of its proper divisors (31752).

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

15048 is a wasteful number, since it uses less digits than its factorization.

15048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 15048 is about 122.6702898016. The cubic root of 15048 is about 24.6883989952.

Adding to 15048 its reverse (84051), we get a palindrome (99099).

The spelling of 15048 in words is "fifteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 15048