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247983 = 3131631
BaseRepresentation
bin111100100010101111
3110121011120
4330202233
530413413
65152023
72051661
oct744257
9417146
10247983
1115a34a
12bb613
1388b48
1466531
154d723
hex3c8af

247983 has 8 divisors (see below), whose sum is σ = 333696. Its totient is φ = 163800.

The previous prime is 247957. The next prime is 247991. The reversal of 247983 is 389742.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 247983 - 214 = 231599 is a prime.

It is a super-2 number, since 2×2479832 = 122991136578, which contains 22 as substring.

It is a nialpdrome in base 14.

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 247983.

It is not an unprimeable number, because it can be changed into a prime (247913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (41712).

247983 is a Friedman number, since it can be written as 498^2-7*3, using all its digits and the basic arithmetic operations.

2247983 is an apocalyptic number.

247983 is a deficient number, since it is larger than the sum of its proper divisors (85713).

247983 is a wasteful number, since it uses less digits than its factorization.

247983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765.

The product of its digits is 12096, while the sum is 33.

The square root of 247983 is about 497.9789152163. The cubic root of 247983 is about 62.8261774378.

The spelling of 247983 in words is "two hundred forty-seven thousand, nine hundred eighty-three".

Divisors: 1 3 131 393 631 1893 82661 247983