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248873053 = 11133121811
BaseRepresentation
bin11101101010110…
…00000001011101
3122100022001122111
432311120001131
51002202414203
640410114021
76111246262
oct1665300135
9570261574
10248873053
11118534010
126b41b911
133c739780
14250a5269
1516cb026d
hexed5805d

248873053 has 24 divisors (see below), whose sum is σ = 302285088. Its totient is φ = 201996000.

The previous prime is 248873021. The next prime is 248873089. The reversal of 248873053 is 350378842.

248873053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248873053 - 25 = 248873021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 248872997 and 248873015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248873753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136518 + ... + 138328.

It is an arithmetic number, because the mean of its divisors is an integer number (12595212).

Almost surely, 2248873053 is an apocalyptic number.

It is an amenable number.

248873053 is a deficient number, since it is larger than the sum of its proper divisors (53412035).

248873053 is a wasteful number, since it uses less digits than its factorization.

248873053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 248873053 is about 15775.7108556160. The cubic root of 248873053 is about 629.0125228882.

The spelling of 248873053 in words is "two hundred forty-eight million, eight hundred seventy-three thousand, fifty-three".

Divisors: 1 11 13 31 143 341 403 961 1811 4433 10571 12493 19921 23543 56141 137423 258973 617551 729833 1740371 8028163 19144081 22624823 248873053