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238857948 = 223272434767
BaseRepresentation
bin11100011110010…
…10111011011100
3121122110020111200
432033022323130
5442121423243
635411315500
75630154600
oct1617127334
9548406450
10238857948
1111291356a
1267babb90
133a641084
1423a19500
1515e82ad3
hexe3caedc

238857948 has 216 divisors, whose sum is σ = 744936192. Its totient is φ = 64266048.

The previous prime is 238857947. The next prime is 238857953. The reversal of 238857948 is 849758832.

It is a happy number.

238857948 is a `hidden beast` number, since 23 + 8 + 8 + 579 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 238857894 and 238857903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238857947) 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 71 ways as a sum of consecutive naturals, for example, 3565011 + ... + 3565077.

Almost surely, 2238857948 is an apocalyptic number.

238857948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238857948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372468096).

238857948 is an abundant number, since it is smaller than the sum of its proper divisors (506078244).

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

238857948 is a wasteful number, since it uses less digits than its factorization.

238857948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 238857948 is about 15455.0298608576. The cubic root of 238857948 is about 620.4592054160.

The spelling of 238857948 in words is "two hundred thirty-eight million, eight hundred fifty-seven thousand, nine hundred forty-eight".