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253758249 = 3234980789
BaseRepresentation
bin11110010000000…
…00101100101001
3122200111020212200
433020000230221
51004430230444
641102530413
76200623653
oct1710005451
9580436780
10253758249
11120270368
1270b96a09
134075a214
14259b76d3
1517427969
hexf200b29

253758249 has 12 divisors (see below), whose sum is σ = 367594500. Its totient is φ = 168685344.

The previous prime is 253758209. The next prime is 253758257. The reversal of 253758249 is 942857352.

253758249 is a `hidden beast` number, since 25 + 3 + 7 + 582 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98307225 + 155451024 = 9915^2 + 12468^2 .

It is not a de Polignac number, because 253758249 - 215 = 253725481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253758209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37254 + ... + 43535.

It is an arithmetic number, because the mean of its divisors is an integer number (30632875).

Almost surely, 2253758249 is an apocalyptic number.

It is an amenable number.

253758249 is a deficient number, since it is larger than the sum of its proper divisors (113836251).

253758249 is a wasteful number, since it uses less digits than its factorization.

253758249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81144 (or 81141 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 253758249 is about 15929.7912415700. The cubic root of 253758249 is about 633.1015687216.

The spelling of 253758249 in words is "two hundred fifty-three million, seven hundred fifty-eight thousand, two hundred forty-nine".

Divisors: 1 3 9 349 1047 3141 80789 242367 727101 28195361 84586083 253758249