Search a number
-
+
238742529 = 32910192693
BaseRepresentation
bin11100011101011…
…10110000000001
3121122020101011220
432032232300001
5442104230104
635405025253
75626164234
oct1616566001
9548211156
10238742529
11112844883
1267b55229
133a60068c
14239c941b
1515e5d7d9
hexe3aec01

238742529 has 16 divisors (see below), whose sum is σ = 329745600. Its totient is φ = 153465536.

The previous prime is 238742473. The next prime is 238742531. The reversal of 238742529 is 925247832.

It is a cyclic number.

It is not a de Polignac number, because 238742529 - 29 = 238742017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238742629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87307 + ... + 89999.

It is an arithmetic number, because the mean of its divisors is an integer number (20609100).

Almost surely, 2238742529 is an apocalyptic number.

238742529 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

238742529 is a deficient number, since it is larger than the sum of its proper divisors (91003071).

238742529 is a wasteful number, since it uses less digits than its factorization.

238742529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744.

The product of its digits is 241920, while the sum is 42.

The square root of 238742529 is about 15451.2953825885. The cubic root of 238742529 is about 620.3592515599.

The spelling of 238742529 in words is "two hundred thirty-eight million, seven hundred forty-two thousand, five hundred twenty-nine".

Divisors: 1 3 29 87 1019 2693 3057 8079 29551 78097 88653 234291 2744167 8232501 79580843 238742529