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243552132 = 2232171672383
BaseRepresentation
bin11101000010001…
…00111110000100
3121222021201201100
432201010332010
5444322132012
640100100100
76015105345
oct1641047604
9558251640
10243552132
1111552a35a
1269694630
133b5c58b5
14244bc0cc
15165ad8dc
hexe844f84

243552132 has 72 divisors (see below), whose sum is σ = 656038656. Its totient is φ = 75919104.

The previous prime is 243552079. The next prime is 243552137. The reversal of 243552132 is 231255342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 243552096 and 243552105.

It is not an unprimeable number, because it can be changed into a prime (243552137) 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, 101013 + ... + 103395.

It is an arithmetic number, because the mean of its divisors is an integer number (9111648).

Almost surely, 2243552132 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 243552132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328019328).

243552132 is an abundant number, since it is smaller than the sum of its proper divisors (412486524).

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

243552132 is a wasteful number, since it uses less digits than its factorization.

243552132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2572 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 243552132 is about 15606.1568619568. The cubic root of 243552132 is about 624.4974152687.

The spelling of 243552132 in words is "two hundred forty-three million, five hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 167 204 306 334 501 612 668 1002 1503 2004 2383 2839 3006 4766 5678 6012 7149 8517 9532 11356 14298 17034 21447 25551 28596 34068 40511 42894 51102 81022 85788 102204 121533 162044 243066 364599 397961 486132 729198 795922 1193883 1458396 1591844 2387766 3581649 4775532 6765337 7163298 13530674 14326596 20296011 27061348 40592022 60888033 81184044 121776066 243552132