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8417937249 = 321278173181
BaseRepresentation
bin1111101011011111…
…11000011101100001
3210201122211112000200
413311233320131201
5114214442442444
63511145335413
7415414200051
oct76557703541
923648745020
108417937249
11362a784937
12176b197569
13a41cc4c77
1459bdbb561
15344053969
hex1f5bf8761

8417937249 has 12 divisors (see below), whose sum is σ = 12160360212. Its totient is φ = 5611442400.

The previous prime is 8417937223. The next prime is 8417937259. The reversal of 8417937249 is 9427397148.

8417937249 is digitally balanced in base 3, 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 2 ways, for example, as 4197096225 + 4220841024 = 64785^2 + 64968^2 .

It is not a de Polignac number, because 8417937249 - 25 = 8417937217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8417937195 and 8417937204.

It is not an unprimeable number, because it can be changed into a prime (8417937259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78439 + ... + 151619.

It is an arithmetic number, because the mean of its divisors is an integer number (1013363351).

Almost surely, 28417937249 is an apocalyptic number.

It is an amenable number.

8417937249 is a deficient number, since it is larger than the sum of its proper divisors (3742422963).

8417937249 is a wasteful number, since it uses less digits than its factorization.

8417937249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85968 (or 85965 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 8417937249 is about 91749.3174307035. The cubic root of 8417937249 is about 2034.2386178289.

The spelling of 8417937249 in words is "eight billion, four hundred seventeen million, nine hundred thirty-seven thousand, two hundred forty-nine".

Divisors: 1 3 9 12781 38343 73181 115029 219543 658629 935326361 2805979083 8417937249