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248124 = 223232931
BaseRepresentation
bin111100100100111100
3110121100210
4330210330
530414444
65152420
72052252
oct744474
9417323
10248124
1115a468
12bb710
1388c26
14665d2
154d7b9
hex3c93c

248124 has 48 divisors (see below), whose sum is σ = 645120. Its totient is φ = 73920.

The previous prime is 248119. The next prime is 248137. The reversal of 248124 is 421842.

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 248124.

It is a congruent number.

It is an unprimeable number.

248124 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7989 + ... + 8019.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2248124 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 248124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560).

248124 is an abundant number, since it is smaller than the sum of its proper divisors (396996).

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

248124 is a wasteful number, since it uses less digits than its factorization.

248124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 248124 is about 498.1204673570. The cubic root of 248124 is about 62.8380825719.

Adding to 248124 its reverse (421842), we get a palindrome (669966).

The spelling of 248124 in words is "two hundred forty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 29 31 46 58 62 69 87 92 93 116 124 138 174 186 276 348 372 667 713 899 1334 1426 1798 2001 2139 2668 2697 2852 3596 4002 4278 5394 8004 8556 10788 20677 41354 62031 82708 124062 248124