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238153728 = 212319381
BaseRepresentation
bin11100011000111…
…11000000000000
3121121010110111110
432030133000000
5441431404403
635344243320
75621162511
oct1614370000
9547113443
10238153728
1111248246a
1267910540
133a455687
14238b4a08
1515d94103
hexe31f000

238153728 has 52 divisors (see below), whose sum is σ = 635031848. Its totient is φ = 79380480.

The previous prime is 238153723. The next prime is 238153757. The reversal of 238153728 is 827351832.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238153723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2598 + ... + 21978.

Almost surely, 2238153728 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 238153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317515924).

238153728 is an abundant number, since it is smaller than the sum of its proper divisors (396878120).

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

238153728 is an equidigital number, since it uses as much as digits as its factorization.

238153728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19408 (or 19386 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 238153728 is about 15432.2301693566. The cubic root of 238153728 is about 619.8488427898.

The spelling of 238153728 in words is "two hundred thirty-eight million, one hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 19381 38762 58143 77524 116286 155048 232572 310096 465144 620192 930288 1240384 1860576 2480768 3721152 4961536 7442304 9923072 14884608 19846144 29769216 39692288 59538432 79384576 119076864 238153728