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248003441 = 7311278999
BaseRepresentation
bin11101100100000…
…11101101110001
3122021122212202122
432302003231301
51001442102231
640335324025
76100665050
oct1662035561
9567585678
10248003441
11117a9a724
126b080615
133c4c39ca
1424d1a397
1516b8c77b
hexec83b71

248003441 has 16 divisors (see below), whose sum is σ = 294912000. Its totient is φ = 204074640.

The previous prime is 248003417. The next prime is 248003453. The reversal of 248003441 is 144300842.

It is a de Polignac number, because none of the positive numbers 2k-248003441 is a prime.

It is a Duffinian number.

248003441 is a modest number, since divided by 3441 gives 248 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 248003441.

It is not an unprimeable number, because it can be changed into a prime (248003401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23060 + ... + 32058.

It is an arithmetic number, because the mean of its divisors is an integer number (18432000).

Almost surely, 2248003441 is an apocalyptic number.

It is an amenable number.

248003441 is a deficient number, since it is larger than the sum of its proper divisors (46908559).

248003441 is a wasteful number, since it uses less digits than its factorization.

248003441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164.

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 248003441 is about 15748.1249995039. The cubic root of 248003441 is about 628.2790362419.

The spelling of 248003441 in words is "two hundred forty-eight million, three thousand, four hundred forty-one".

Divisors: 1 7 31 127 217 889 3937 8999 27559 62993 278969 1142873 1952783 8000111 35429063 248003441