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248629823 = 13121315767
BaseRepresentation
bin11101101000111…
…00101000111111
3122022211200222222
432310130220333
51002122123243
640400555555
76106214201
oct1664345077
9568750888
10248629823
111183882a2
126b322bbb
133c682b50
1425040771
1516c63168
hexed1ca3f

248629823 has 8 divisors (see below), whose sum is σ = 267992928. Its totient is φ = 229300704.

The previous prime is 248629813. The next prime is 248629841. The reversal of 248629823 is 328926842.

It is a Cunningham number, because it is equal to 157682-1.

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 248629823 - 28 = 248629567 is a prime.

It is a super-2 number, since 2×2486298232 = 123633577770022658, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248629813) 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, 7886 + ... + 23652.

It is an arithmetic number, because the mean of its divisors is an integer number (33499116).

Almost surely, 2248629823 is an apocalyptic number.

248629823 is a deficient number, since it is larger than the sum of its proper divisors (19363105).

248629823 is a wasteful number, since it uses less digits than its factorization.

248629823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16993.

The product of its digits is 331776, while the sum is 44.

The square root of 248629823 is about 15767.9999682902. Note that the first 4 decimals coincide. The cubic root of 248629823 is about 628.8075394197.

The spelling of 248629823 in words is "two hundred forty-eight million, six hundred twenty-nine thousand, eight hundred twenty-three".

Divisors: 1 13 1213 15767 15769 204971 19125371 248629823