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248414130 = 23258931013
BaseRepresentation
bin11101100111001…
…11111110110010
3122022102202010100
432303213332302
51002043223010
640352213230
76104325306
oct1663477662
9568382110
10248414130
11118250238
126b23a216
133c608913
1424dc5d06
1516c1e2c0
hexece7fb2

248414130 has 48 divisors (see below), whose sum is σ = 653154840. Its totient is φ = 65497344.

The previous prime is 248414123. The next prime is 248414147. The reversal of 248414130 is 31414842.

248414130 is a `hidden beast` number, since 248 + 4 + 1 + 413 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72029169 + 176384961 = 8487^2 + 13281^2 .

It is a junction number, because it is equal to n+sod(n) for n = 248414094 and 248414103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7497 + ... + 23516.

Almost surely, 2248414130 is an apocalyptic number.

248414130 is an abundant number, since it is smaller than the sum of its proper divisors (404740710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248414130 is a wasteful number, since it uses less digits than its factorization.

248414130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31115 (or 31112 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 248414130 is about 15761.1589040908. The cubic root of 248414130 is about 628.6256510436.

Adding to 248414130 its reverse (31414842), we get a palindrome (279828972).

The spelling of 248414130 in words is "two hundred forty-eight million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 31013 62026 93039 155065 186078 279117 310130 465195 558234 930390 1395585 2760157 2791170 5520314 8280471 13800785 16560942 24841413 27601570 41402355 49682826 82804710 124207065 248414130