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248376 = 23379131
BaseRepresentation
bin111100101000111000
3110121201010
4330220320
530422001
65153520
72053062
oct745070
9417633
10248376
1115a677
12bb8a0
138908b
1466732
154d8d6
hex3ca38

248376 has 32 divisors (see below), whose sum is σ = 633600. Its totient is φ = 81120.

The previous prime is 248371. The next prime is 248389. The reversal of 248376 is 673842.

248376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 217 + 48 + 37 + 85 + 75 + 6 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248371) by changing a digit.

248376 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 7 ways as a sum of consecutive naturals, for example, 1831 + ... + 1961.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

248376 is a Friedman number, since it can be written as 76^2*43+8, using all its digits and the basic arithmetic operations.

2248376 is an apocalyptic number.

It is an amenable number.

248376 is an abundant number, since it is smaller than the sum of its proper divisors (385224).

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

248376 is a wasteful number, since it uses less digits than its factorization.

248376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 248376 is about 498.3733540229. The cubic root of 248376 is about 62.8593486042.

The spelling of 248376 in words is "two hundred forty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 79 131 158 237 262 316 393 474 524 632 786 948 1048 1572 1896 3144 10349 20698 31047 41396 62094 82792 124188 248376