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238904893 = 1737379817
BaseRepresentation
bin11100011110101…
…10011000111101
3121122112121220101
432033112120331
5442124424033
635412321101
75630441503
oct1617263075
9548477811
10238904893
11112945867
1268013191
133a659556
1423a2c673
1515e9197d
hexe3d663d

238904893 has 8 divisors (see below), whose sum is σ = 259795512. Its totient is φ = 218774016.

The previous prime is 238904863. The next prime is 238904899. The reversal of 238904893 is 398409832.

It can be written as a sum of positive squares in 4 ways, for example, as 195384484 + 43520409 = 13978^2 + 6597^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 238904893 - 213 = 238896701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238904899) 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 7 ways as a sum of consecutive naturals, for example, 189280 + ... + 190537.

It is an arithmetic number, because the mean of its divisors is an integer number (32474439).

Almost surely, 2238904893 is an apocalyptic number.

It is an amenable number.

238904893 is a deficient number, since it is larger than the sum of its proper divisors (20890619).

238904893 is a wasteful number, since it uses less digits than its factorization.

238904893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379871.

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 238904893 is about 15456.5485474604. The cubic root of 238904893 is about 620.4998509818.

The spelling of 238904893 in words is "two hundred thirty-eight million, nine hundred four thousand, eight hundred ninety-three".

Divisors: 1 17 37 629 379817 6456889 14053229 238904893