Base | Representation |
---|---|
bin | 11001110010000… |
… | …000111000111010 |
3 | 1010010220101001000 |
4 | 121302000320322 |
5 | 1341212304432 |
6 | 110530505430 |
7 | 13501353120 |
oct | 3162007072 |
9 | 1103811030 |
10 | 432541242 |
11 | 202181701 |
12 | 100a35276 |
13 | 6b7c6183 |
14 | 41635910 |
15 | 27e9057c |
hex | 19c80e3a |
432541242 has 64 divisors (see below), whose sum is σ = 1101542400. Its totient is φ = 123243120.
The previous prime is 432541237. The next prime is 432541247. The reversal of 432541242 is 242145234.
It is an interprime number because it is at equal distance from previous prime (432541237) and next prime (432541247).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (432541247) 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 31 ways as a sum of consecutive naturals, for example, 157017 + ... + 159747.
It is an arithmetic number, because the mean of its divisors is an integer number (17211600).
Almost surely, 2432541242 is an apocalyptic number.
432541242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 432541242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550771200).
432541242 is an abundant number, since it is smaller than the sum of its proper divisors (669001158).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
432541242 is a wasteful number, since it uses less digits than its factorization.
432541242 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3168 (or 3162 counting only the distinct ones).
The product of its digits is 7680, while the sum is 27.
The square root of 432541242 is about 20797.6258741232. The cubic root of 432541242 is about 756.2682028995.
Adding to 432541242 its reverse (242145234), we get a palindrome (674686476).
The spelling of 432541242 in words is "four hundred thirty-two million, five hundred forty-one thousand, two hundred forty-two".
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