Search a number
-
+
243529728 = 2113133049
BaseRepresentation
bin11101000001111…
…11100000000000
3121222020120222120
432200333200000
5444320422403
640055404240
76014653131
oct1640774000
9558216876
10243529728
11115514542
1269683680
133b5b8640
14244b3c88
15165a6e53
hexe83f800

243529728 has 96 divisors (see below), whose sum is σ = 699426000. Its totient is φ = 74907648.

The previous prime is 243529723. The next prime is 243529729. The reversal of 243529728 is 827925342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 243529728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243529723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78348 + ... + 81396.

Almost surely, 2243529728 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 243529728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349713000).

243529728 is an abundant number, since it is smaller than the sum of its proper divisors (455896272).

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

243529728 is a wasteful number, since it uses less digits than its factorization.

243529728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3067 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 243529728 is about 15605.4390518178. The cubic root of 243529728 is about 624.4782658174.

The spelling of 243529728 in words is "two hundred forty-three million, five hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3049 3072 3328 4992 6098 6144 6656 9147 9984 12196 13312 18294 19968 24392 26624 36588 39637 39936 48784 73176 79274 79872 97568 118911 146352 158548 195136 237822 292704 317096 390272 475644 585408 634192 780544 951288 1170816 1268384 1561088 1902576 2341632 2536768 3122176 3805152 4683264 5073536 6244352 7610304 9366528 10147072 15220608 18733056 20294144 30441216 40588288 60882432 81176576 121764864 243529728