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238494564 = 2233721117241
BaseRepresentation
bin11100011011100…
…10001101100100
3121121202210001000
432031302031210
5442023311224
635355433300
75624112300
oct1615621544
9547683030
10238494564
11112695550
1267a55830
133a544859
1423962d00
1515e100c9
hexe372364

238494564 has 288 divisors, whose sum is σ = 834261120. Its totient is φ = 58060800.

The previous prime is 238494559. The next prime is 238494611. The reversal of 238494564 is 465494832.

238494564 = 622 + 632 + ... + 8942.

238494564 is a `hidden beast` number, since 2 + 3 + 84 + 9 + 4 + 564 = 666.

238494564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 989484 + ... + 989724.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2238494564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238494564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417130560).

238494564 is an abundant number, since it is smaller than the sum of its proper divisors (595766556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238494564 is a wasteful number, since it uses less digits than its factorization.

238494564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 238494564 is about 15443.2692134794. The cubic root of 238494564 is about 620.1444027159.

The spelling of 238494564 in words is "two hundred thirty-eight million, four hundred ninety-four thousand, five hundred sixty-four".