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238049280 = 211345741
BaseRepresentation
bin11100011000001…
…01100000000000
3121120221011020000
432030011200000
5441420034110
635342120000
75620246140
oct1614054000
9546834200
10238049280
11112410a47
1267880000
133a419c81
1423888920
1515d731c0
hexe305800

238049280 has 480 divisors, whose sum is σ = 998917920. Its totient is φ = 53084160.

The previous prime is 238049263. The next prime is 238049281. The reversal of 238049280 is 82940832.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238049281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5806060 + ... + 5806100.

It is an arithmetic number, because the mean of its divisors is an integer number (2081079).

Almost surely, 2238049280 is an apocalyptic number.

238049280 is a gapful number since it is divisible by the number (20) 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 238049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499458960).

238049280 is an abundant number, since it is smaller than the sum of its proper divisors (760868640).

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

238049280 is an equidigital number, since it uses as much as digits as its factorization.

238049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 238049280 is about 15428.8457118477. The cubic root of 238049280 is about 619.7582130392.

The spelling of 238049280 in words is "two hundred thirty-eight million, forty-nine thousand, two hundred eighty".