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248339104 = 25134313883
BaseRepresentation
bin11101100110101…
…01101010100000
3122022021221012121
432303111222200
51002033322404
640350434024
76103563466
oct1663255240
9568257177
10248339104
111181a9932
126b202914
133c5b0720
1424da6836
1516c06e54
hexecd5aa0

248339104 has 48 divisors (see below), whose sum is σ = 538810272. Its totient is φ = 111944448.

The previous prime is 248339099. The next prime is 248339131. The reversal of 248339104 is 401933842.

248339104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 248339104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10947 + ... + 24829.

It is an arithmetic number, because the mean of its divisors is an integer number (11225214).

Almost surely, 2248339104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248339104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269405136).

248339104 is an abundant number, since it is smaller than the sum of its proper divisors (290471168).

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

248339104 is a wasteful number, since it uses less digits than its factorization.

248339104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13949 (or 13941 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 248339104 is about 15758.7786328763. The cubic root of 248339104 is about 628.5623588617.

The spelling of 248339104 in words is "two hundred forty-eight million, three hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1118 1376 2236 4472 8944 13883 17888 27766 55532 111064 180479 222128 360958 444256 596969 721916 1193938 1443832 2387876 2887664 4775752 5775328 7760597 9551504 15521194 19103008 31042388 62084776 124169552 248339104