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248805641 = 761896547
BaseRepresentation
bin11101101010001…
…11100100001001
3122100011122011202
432311013210021
51002143240031
640404433545
76110545610
oct1665074411
9570148152
10248805641
111184983a7
126b3a88b5
133c714b96
1425088877
1516c9a2cb
hexed47909

248805641 has 16 divisors (see below), whose sum is σ = 292302720. Its totient is φ = 207377280.

The previous prime is 248805637. The next prime is 248805643. The reversal of 248805641 is 146508842.

It is a happy number.

248805641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 248805641 - 22 = 248805637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 248805595 and 248805604.

It is not an unprimeable number, because it can be changed into a prime (248805643) 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, 34730 + ... + 41276.

It is an arithmetic number, because the mean of its divisors is an integer number (18268920).

Almost surely, 2248805641 is an apocalyptic number.

It is an amenable number.

248805641 is a deficient number, since it is larger than the sum of its proper divisors (43497079).

248805641 is an equidigital number, since it uses as much as digits as its factorization.

248805641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6704.

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 248805641 is about 15773.5741352428. The cubic root of 248805641 is about 628.9557244244.

The spelling of 248805641 in words is "two hundred forty-eight million, eight hundred five thousand, six hundred forty-one".

Divisors: 1 7 61 89 427 623 5429 6547 38003 45829 399367 582683 2795569 4078781 35543663 248805641