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238902048 = 2536721119
BaseRepresentation
bin11100011110101…
…01101100100000
3121122112111000000
432033111230200
5442124331143
635412300000
75630430300
oct1617255440
9548474000
10238902048
11112943710
1268011600
133a658178
1423a2b600
1515e90bd3
hexe3d5b20

238902048 has 504 divisors, whose sum is σ = 941991120. Its totient is φ = 58786560.

The previous prime is 238902031. The next prime is 238902061. The reversal of 238902048 is 840209832.

238902048 is digitally balanced in base 2, 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 (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12573783 + ... + 12573801.

It is an arithmetic number, because the mean of its divisors is an integer number (1869030).

Almost surely, 2238902048 is an apocalyptic number.

238902048 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 238902048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470995560).

238902048 is an abundant number, since it is smaller than the sum of its proper divisors (703089072).

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

238902048 is a wasteful number, since it uses less digits than its factorization.

238902048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 42 counting only the distinct ones).

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

The square root of 238902048 is about 15456.4565149972. The cubic root of 238902048 is about 620.4973878970.

The spelling of 238902048 in words is "two hundred thirty-eight million, nine hundred two thousand, forty-eight".