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253146399 = 3112697373
BaseRepresentation
bin11110001011010…
…11010100011111
3122122100011120120
433011223110133
51004301141044
641041450023
76162465102
oct1705532437
9578304516
10253146399
1111a992700
1270940913
13405a488c
1425898739
1517356519
hexf16b51f

253146399 has 12 divisors (see below), whose sum is σ = 371002968. Its totient is φ = 153421840.

The previous prime is 253146389. The next prime is 253146409. The reversal of 253146399 is 993641352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253146389) and next prime (253146409).

It is not a de Polignac number, because 253146399 - 29 = 253145887 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 253146399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253146359) 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 11 ways as a sum of consecutive naturals, for example, 348324 + ... + 349049.

It is an arithmetic number, because the mean of its divisors is an integer number (30916914).

Almost surely, 2253146399 is an apocalyptic number.

253146399 is a deficient number, since it is larger than the sum of its proper divisors (117856569).

253146399 is a wasteful number, since it uses less digits than its factorization.

253146399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697398 (or 697387 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 253146399 is about 15910.5750681740. The cubic root of 253146399 is about 632.5923242672.

It can be divided in two parts, 25314 and 6399, that added together give a palindrome (31713).

The spelling of 253146399 in words is "two hundred fifty-three million, one hundred forty-six thousand, three hundred ninety-nine".

Divisors: 1 3 11 33 121 363 697373 2092119 7671103 23013309 84382133 253146399