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248980793 = 17432892
BaseRepresentation
bin11101101011100…
…10010100111001
3122100111112102212
432311302110321
51002214341133
640412304505
76112205345
oct1665622471
9570445385
10248980793
111185a7a56
126b472135
133c776819
14250d2625
1516cd2148
hexed72539

248980793 has 18 divisors (see below), whose sum is σ = 272966814. Its totient is φ = 226313472.

The previous prime is 248980789. The next prime is 248980813. The reversal of 248980793 is 397089842.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10679824 + 238300969 = 3268^2 + 15437^2 .

It is not a de Polignac number, because 248980793 - 22 = 248980789 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248980703) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2797493 + ... + 2797581.

It is an arithmetic number, because the mean of its divisors is an integer number (15164823).

Almost surely, 2248980793 is an apocalyptic number.

It is an amenable number.

248980793 is a deficient number, since it is larger than the sum of its proper divisors (23986021).

248980793 is an frugal number, since it uses more digits than its factorization.

248980793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 248980793 is about 15779.1252292388. The cubic root of 248980793 is about 629.1032787057.

The spelling of 248980793 in words is "two hundred forty-eight million, nine hundred eighty thousand, seven hundred ninety-three".

Divisors: 1 17 43 89 731 1513 1849 3827 7921 31433 65059 134657 164561 340603 2797537 5790251 14645929 248980793