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232542432 = 25322273557
BaseRepresentation
bin11011101110001…
…01000011100000
3121012120101020200
431313011003200
5434012324212
635024105200
75522402163
oct1567050340
9535511220
10232542432
1110a29a631
1265a65200
133923c595
1422c53ada
15156366dc
hexddc50e0

232542432 has 72 divisors (see below), whose sum is σ = 664392456. Its totient is φ = 77150976.

The previous prime is 232542421. The next prime is 232542437. The reversal of 232542432 is 234245232.

It is a happy number.

232542432 is a `hidden beast` number, since 232 + 5 + 424 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 232542396 and 232542405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232542437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63598 + ... + 67154.

It is an arithmetic number, because the mean of its divisors is an integer number (9227673).

Almost surely, 2232542432 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 232542432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332196228).

232542432 is an abundant number, since it is smaller than the sum of its proper divisors (431850024).

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

232542432 is a wasteful number, since it uses less digits than its factorization.

232542432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3789 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 232542432 is about 15249.3420185921. The cubic root of 232542432 is about 614.9418783066.

Adding to 232542432 its reverse (234245232), we get a palindrome (466787664).

The spelling of 232542432 in words is "two hundred thirty-two million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 227 288 454 681 908 1362 1816 2043 2724 3557 3632 4086 5448 7114 7264 8172 10671 10896 14228 16344 21342 21792 28456 32013 32688 42684 56912 64026 65376 85368 113824 128052 170736 256104 341472 512208 807439 1024416 1614878 2422317 3229756 4844634 6459512 7266951 9689268 12919024 14533902 19378536 25838048 29067804 38757072 58135608 77514144 116271216 232542432