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248196393 = 343897877
BaseRepresentation
bin11101100101100…
…10110100101001
3122022000200110000
432302302310221
51002014241033
640343413213
76102430434
oct1662626451
9568020400
10248196393
11118111695
126b154209
133c560793
1424d6a81b
1516bc9a13
hexecb2d29

248196393 has 20 divisors (see below), whose sum is σ = 371762820. Its totient is φ = 165017952.

The previous prime is 248196391. The next prime is 248196397. The reversal of 248196393 is 393691842.

It is a happy number.

248196393 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 9 + 639 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 200420649 = 6912^2 + 14157^2 .

It is not a de Polignac number, because 248196393 - 21 = 248196391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248196391) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27571 + ... + 35447.

It is an arithmetic number, because the mean of its divisors is an integer number (18588141).

Almost surely, 2248196393 is an apocalyptic number.

It is an amenable number.

248196393 is a deficient number, since it is larger than the sum of its proper divisors (123566427).

248196393 is an equidigital number, since it uses as much as digits as its factorization.

248196393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8269 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 248196393 is about 15754.2499980164. The cubic root of 248196393 is about 628.4419321954.

The spelling of 248196393 in words is "two hundred forty-eight million, one hundred ninety-six thousand, three hundred ninety-three".

Divisors: 1 3 9 27 81 389 1167 3501 7877 10503 23631 31509 70893 212679 638037 3064153 9192459 27577377 82732131 248196393