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238832082 = 232175991303
BaseRepresentation
bin11100011110001…
…00100111010010
3121122101221000200
432033010213102
5442120111312
635411000030
75630016306
oct1617044722
9548357020
10238832082
111128a6095
1267b99016
133a632378
1423a0dd06
1515e7a0dc
hexe3c49d2

238832082 has 48 divisors (see below), whose sum is σ = 549244800. Its totient is φ = 74745216.

The previous prime is 238832053. The next prime is 238832101. The reversal of 238832082 is 280238832.

238832082 is digitally balanced in base 2 and base 3, because in such bases 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 23 ways as a sum of consecutive naturals, for example, 182643 + ... + 183945.

It is an arithmetic number, because the mean of its divisors is an integer number (11442600).

Almost surely, 2238832082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238832082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274622400).

238832082 is an abundant number, since it is smaller than the sum of its proper divisors (310412718).

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

238832082 is a wasteful number, since it uses less digits than its factorization.

238832082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 238832082 is about 15454.1930232542. The cubic root of 238832082 is about 620.4368080353.

The spelling of 238832082 in words is "two hundred thirty-eight million, eight hundred thirty-two thousand, eighty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 599 1198 1303 1797 2606 3594 3909 5391 7818 10183 10782 11727 20366 22151 23454 30549 44302 61098 66453 91647 132906 183294 199359 398718 780497 1560994 2341491 4682982 7024473 13268449 14048946 26536898 39805347 79610694 119416041 238832082