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248838 = 2367619
BaseRepresentation
bin111100110000000110
3110122100020
4330300012
530430323
65200010
72054322
oct746006
9418306
10248838
1115aa57
12100006
1389355
1466982
154dae3
hex3cc06

248838 has 16 divisors (see below), whose sum is σ = 505920. Its totient is φ = 81576.

The previous prime is 248827. The next prime is 248839. The reversal of 248838 is 838842.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 248799 and 248808.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248838.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (31620).

248838 is a Friedman number, since it can be written as 8+(8+4)^(8-3)-2, using all its digits and the basic arithmetic operations.

2248838 is an apocalyptic number.

248838 is an abundant number, since it is smaller than the sum of its proper divisors (257082).

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

248838 is a wasteful number, since it uses less digits than its factorization.

248838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691.

The product of its digits is 12288, while the sum is 33.

The square root of 248838 is about 498.8366466089. The cubic root of 248838 is about 62.8982990012.

The spelling of 248838 in words is "two hundred forty-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 67 134 201 402 619 1238 1857 3714 41473 82946 124419 248838