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252131743 = 17103311463
BaseRepresentation
bin11110000011100…
…11100110011111
3122120102121201201
433001303212133
51004021203433
641004020331
76151040653
oct1701634637
9576377651
10252131743
1111a35a346
12705316a7
134030aaa6
14256b2a63
1517205a7d
hexf07399f

252131743 has 16 divisors (see below), whose sum is σ = 271005696. Its totient is φ = 233735040.

The previous prime is 252131717. The next prime is 252131753. The reversal of 252131743 is 347131252.

It is a de Polignac number, because none of the positive numbers 2k-252131743 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252131753) 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 15 ways as a sum of consecutive naturals, for example, 544330 + ... + 544792.

It is an arithmetic number, because the mean of its divisors is an integer number (16937856).

Almost surely, 2252131743 is an apocalyptic number.

252131743 is a deficient number, since it is larger than the sum of its proper divisors (18873953).

252131743 is a wasteful number, since it uses less digits than its factorization.

252131743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894.

The product of its digits is 5040, while the sum is 28.

The square root of 252131743 is about 15878.6568386624. The cubic root of 252131743 is about 631.7460115109.

Adding to 252131743 its reverse (347131252), we get a palindrome (599262995).

The spelling of 252131743 in words is "two hundred fifty-two million, one hundred thirty-one thousand, seven hundred forty-three".

Divisors: 1 17 103 311 463 1751 5287 7871 32033 47689 143993 544561 810713 2447881 14831279 252131743