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238491648 = 2113319227
BaseRepresentation
bin11100011011100…
…01100000000000
3121121202122001000
432031301200000
5442023213043
635355412000
75624100633
oct1615614000
9547678030
10238491648
1111269333a
1267a54000
133a543425
1423961c1a
1515e0e2d3
hexe371800

238491648 has 192 divisors, whose sum is σ = 746928000. Its totient is φ = 74981376.

The previous prime is 238491571. The next prime is 238491689. The reversal of 238491648 is 846194832.

It is a happy number.

238491648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050511 + ... + 1050737.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2238491648 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 238491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464000).

238491648 is an abundant number, since it is smaller than the sum of its proper divisors (508436352).

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

238491648 is a wasteful number, since it uses less digits than its factorization.

238491648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 238491648 is about 15443.1748031291. The cubic root of 238491648 is about 620.1418752671.

The spelling of 238491648 in words is "two hundred thirty-eight million, four hundred ninety-one thousand, six hundred forty-eight".