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238288048 = 24171974447
BaseRepresentation
bin11100011001111…
…11110010110000
3121121101021202021
432030333302300
5442000204143
635351201224
75622262225
oct1614776260
9547337667
10238288048
11112564379
1267976214
133a4a185b
142390b94c
1515dbdced
hexe33fcb0

238288048 has 40 divisors (see below), whose sum is σ = 491432832. Its totient is φ = 111541248.

The previous prime is 238288013. The next prime is 238288051. The reversal of 238288048 is 840882832.

It is a junction number, because it is equal to n+sod(n) for n = 238287995 and 238288013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51361 + ... + 55807.

Almost surely, 2238288048 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 238288048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245716416).

238288048 is an abundant number, since it is smaller than the sum of its proper divisors (253144784).

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

238288048 is a wasteful number, since it uses less digits than its factorization.

238288048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The square root of 238288048 is about 15436.5814868448. The cubic root of 238288048 is about 619.9653535964.

The spelling of 238288048 in words is "two hundred thirty-eight million, two hundred eighty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 197 272 394 788 1576 3152 3349 4447 6698 8894 13396 17788 26792 35576 53584 71152 75599 151198 302396 604792 876059 1209584 1752118 3504236 7008472 14016944 14893003 29786006 59572012 119144024 238288048