Search a number
-
+
248325 = 35271143
BaseRepresentation
bin111100101000000101
3110121122020
4330220011
530421300
65153353
72052660
oct745005
9417566
10248325
1115a630
12bb859
138904c
14666d7
154d8a0
hex3ca05

248325 has 48 divisors (see below), whose sum is σ = 523776. Its totient is φ = 100800.

The previous prime is 248323. The next prime is 248351. The reversal of 248325 is 523842.

It is not a de Polignac number, because 248325 - 21 = 248323 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 248295 and 248304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5754 + ... + 5796.

It is an arithmetic number, because the mean of its divisors is an integer number (10912).

2248325 is an apocalyptic number.

248325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248325 is an abundant number, since it is smaller than the sum of its proper divisors (275451).

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

248325 is a wasteful number, since it uses less digits than its factorization.

248325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 69 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 248325 is about 498.3221849366. The cubic root of 248325 is about 62.8550459257.

The spelling of 248325 in words is "two hundred forty-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 43 55 75 77 105 129 165 175 215 231 275 301 385 473 525 645 825 903 1075 1155 1419 1505 1925 2365 3225 3311 4515 5775 7095 7525 9933 11825 16555 22575 35475 49665 82775 248325