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248415345 = 32516973253
BaseRepresentation
bin11101100111010…
…00010001110001
3122022102210210100
432303220101301
51002043242340
640352223013
76104331663
oct1663502161
9568383710
10248415345
11118251142
126b23aa69
133c609339
1424dc6533
1516c1e830
hexece8471

248415345 has 24 divisors (see below), whose sum is σ = 430972776. Its totient is φ = 132369408.

The previous prime is 248415337. The next prime is 248415347. The reversal of 248415345 is 543514842.

It is a happy number.

248415345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 170145936 + 78269409 = 13044^2 + 8847^2 .

It is not a de Polignac number, because 248415345 - 23 = 248415337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248415347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74739 + ... + 77991.

It is an arithmetic number, because the mean of its divisors is an integer number (17957199).

Almost surely, 2248415345 is an apocalyptic number.

It is an amenable number.

248415345 is a deficient number, since it is larger than the sum of its proper divisors (182557431).

248415345 is a wasteful number, since it uses less digits than its factorization.

248415345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4958 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 248415345 is about 15761.1974481636. The cubic root of 248415345 is about 628.6266759168.

The spelling of 248415345 in words is "two hundred forty-eight million, four hundred fifteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 1697 3253 5091 8485 9759 15273 16265 25455 29277 48795 76365 146385 5520341 16561023 27601705 49683069 82805115 248415345