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248823431 = 1993673407
BaseRepresentation
bin11101101010010…
…11111010000111
3122100012112120122
432311023322013
51002144322211
640405052155
76110651513
oct1665137207
9570175518
10248823431
111184aa7aa
126b3b705b
133c71cccc
1425091143
1516ca06db
hexed4be87

248823431 has 8 divisors (see below), whose sum is σ = 250828800. Its totient is φ = 246826008.

The previous prime is 248823427. The next prime is 248823433. The reversal of 248823431 is 134328842.

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

It is a cyclic number.

It is not a de Polignac number, because 248823431 - 22 = 248823427 is a prime.

It is a super-2 number, since 2×2488234312 = 123826199629223522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 248823391 and 248823400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248823433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71330 + ... + 74736.

It is an arithmetic number, because the mean of its divisors is an integer number (31353600).

Almost surely, 2248823431 is an apocalyptic number.

248823431 is a deficient number, since it is larger than the sum of its proper divisors (2005369).

248823431 is a wasteful number, since it uses less digits than its factorization.

248823431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973.

The product of its digits is 36864, while the sum is 35.

The square root of 248823431 is about 15774.1380430120. The cubic root of 248823431 is about 628.9707145128.

The spelling of 248823431 in words is "two hundred forty-eight million, eight hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 199 367 3407 73033 677993 1250369 248823431