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253829023 = 7173183829
BaseRepresentation
bin11110010000100…
…01111110011111
3122200121211221221
433020101332133
51004440012043
641104234211
76201340210
oct1710217637
9580554857
10253829023
11120309558
127100b967
13407834b6
14259d5407
151743d8ed
hexf211f9f

253829023 has 32 divisors (see below), whose sum is σ = 321269760. Its totient is φ = 195540480.

The previous prime is 253829011. The next prime is 253829039. The reversal of 253829023 is 320928352.

It is a cyclic number.

It is not a de Polignac number, because 253829023 - 29 = 253828511 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253829023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253820023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305773 + ... + 306601.

It is an arithmetic number, because the mean of its divisors is an integer number (10039680).

Almost surely, 2253829023 is an apocalyptic number.

253829023 is a deficient number, since it is larger than the sum of its proper divisors (67440737).

253829023 is a wasteful number, since it uses less digits than its factorization.

253829023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967.

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 253829023 is about 15932.0125219634. The cubic root of 253829023 is about 633.1604212786.

The spelling of 253829023 in words is "two hundred fifty-three million, eight hundred twenty-nine thousand, twenty-three".

Divisors: 1 7 17 31 83 119 217 527 581 829 1411 2573 3689 5803 9877 14093 18011 25699 43741 68807 98651 179893 306187 436883 481649 1169719 2133017 3058181 8188033 14931119 36261289 253829023