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238725432 = 233211383787
BaseRepresentation
bin11100011101010…
…10100100111000
3121122012111201200
432032222210320
5442103203212
635404414200
75626063341
oct1616524470
9548174650
10238725432
11112832a50
1267b47360
133a5c596a
14239c30c8
1515e586dc
hexe3aa938

238725432 has 96 divisors (see below), whose sum is σ = 708065280. Its totient is φ = 72060480.

The previous prime is 238725427. The next prime is 238725433. The reversal of 238725432 is 234527832.

238725432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238725433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302943 + ... + 303729.

It is an arithmetic number, because the mean of its divisors is an integer number (7375680).

Almost surely, 2238725432 is an apocalyptic number.

238725432 is a gapful number since it is divisible by the number (22) 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 238725432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354032640).

238725432 is an abundant number, since it is smaller than the sum of its proper divisors (469339848).

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

238725432 is a wasteful number, since it uses less digits than its factorization.

238725432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1186 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 238725432 is about 15450.7421180991. The cubic root of 238725432 is about 620.3444426703.

The spelling of 238725432 in words is "two hundred thirty-eight million, seven hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 383 396 766 787 792 1149 1532 1574 2298 2361 3064 3148 3447 4213 4596 4722 6296 6894 7083 8426 8657 9192 9444 12639 13788 14166 16852 17314 18888 25278 25971 27576 28332 33704 34628 37917 50556 51942 56664 69256 75834 77913 101112 103884 151668 155826 207768 301421 303336 311652 602842 623304 904263 1205684 1808526 2411368 2712789 3315631 3617052 5425578 6631262 7234104 9946893 10851156 13262524 19893786 21702312 26525048 29840679 39787572 59681358 79575144 119362716 238725432