Search a number
-
+
238089456 = 24351119293
BaseRepresentation
bin11100011000011…
…11010011110000
3121121000012100000
432030033103300
5441422330311
635343030000
75620504233
oct1614172360
9547005300
10238089456
11112439150
126789b300
133a432347
142389941a
1515d80056
hexe30f4f0

238089456 has 240 divisors, whose sum is σ = 796199040. Its totient is φ = 68117760.

The previous prime is 238089433. The next prime is 238089457. The reversal of 238089456 is 654980832.

238089456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238089457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812446 + ... + 812738.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2238089456 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 238089456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398099520).

238089456 is an abundant number, since it is smaller than the sum of its proper divisors (558109584).

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

238089456 is a wasteful number, since it uses less digits than its factorization.

238089456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 238089456 is about 15430.1476337720. The cubic root of 238089456 is about 619.7930769762.

The spelling of 238089456 in words is "two hundred thirty-eight million, eighty-nine thousand, four hundred fifty-six".