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248832 = 21035
BaseRepresentation
bin111100110000000000
3110122100000
4330300000
530430312
65200000
72054313
oct746000
9418300
10248832
1115aa51
12100000
138934c
146697a
hex3cc00

248832 has 66 divisors (see below), whose sum is σ = 745108. Its totient is φ = 82944.

The previous prime is 248827. The next prime is 248839. The reversal of 248832 is 238842.

It is a perfect power (a 5-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)2 ⋅ (3!)3 ⋅ 2!.

248832 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 248796 and 248805.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248832.

It is not an unprimeable number, because it can be changed into a prime (248839) by changing a digit.

248832 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 5 ways as a sum of consecutive naturals, for example, 82943 + 82944 + 82945.

248832 is a Friedman number, since it can be written as (3*(2+2))^(8/8+4), using all its digits and the basic arithmetic operations.

2248832 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 248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372554).

248832 is an abundant number, since it is smaller than the sum of its proper divisors (496276).

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

248832 is an frugal number, since it uses more digits than its factorization.

248832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 5 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 248832 is about 498.8306325798. The cubic root of 248832 is about 62.8977934610.

Multiplying 248832 by its sum of digits (27), we get a square (6718464 = 25922).

248832 divided by its sum of digits (27) gives a square (9216 = 962).

Multiplying 248832 by its product of digits (3072), we get a square (764411904 = 276482).

248832 divided by its product of digits (3072) gives a 4-th power (81 = 34).

The spelling of 248832 in words is "two hundred forty-eight thousand, eight hundred thirty-two".