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248112 = 24321723
BaseRepresentation
bin111100100100110000
3110121100100
4330210300
530414422
65152400
72052234
oct744460
9417310
10248112
1115a457
12bb700
1388c17
14665c4
154d7ac
hex3c930

248112 has 30 divisors (see below), whose sum is σ = 694772. Its totient is φ = 82656.

The previous prime is 248099. The next prime is 248117. The reversal of 248112 is 211842.

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 nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248112.

It is not an unprimeable number, because it can be changed into a prime (248117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 718 + ... + 1005.

2248112 is an apocalyptic number.

It is an amenable number.

248112 is an abundant number, since it is smaller than the sum of its proper divisors (446660).

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

248112 is a wasteful number, since it uses less digits than its factorization.

248112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1728 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 248112 is about 498.1084219324. The cubic root of 248112 is about 62.8370695447.

Adding to 248112 its reverse (211842), we get a palindrome (459954).

The spelling of 248112 in words is "two hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1723 3446 5169 6892 10338 13784 15507 20676 27568 31014 41352 62028 82704 124056 248112