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41230431 = 3311294787
BaseRepresentation
bin1001110101001…
…0000001011111
32212120201112000
42131102001133
541023333211
64031413343
71010311224
oct235220137
985521460
1041230431
1121301040
1211984253
138707908
14569394b
153946656
hex275205f

41230431 has 32 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 24121440.

The previous prime is 41230411. The next prime is 41230451. The reversal of 41230431 is 13403214.

41230431 is a `hidden beast` number, since 4 + 1 + 230 + 431 = 666.

41230431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41230411) and next prime (41230451).

It is not a de Polignac number, because 41230431 - 26 = 41230367 is a prime.

It is a super-2 number, since 2×412304312 = 3399896880891522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41230411) 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, 6220 + ... + 11006.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 241230431 is an apocalyptic number.

41230431 is a deficient number, since it is larger than the sum of its proper divisors (27716769).

41230431 is a wasteful number, since it uses less digits than its factorization.

41230431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41230431 is about 6421.0926640253. The cubic root of 41230431 is about 345.4665144451.

Adding to 41230431 its reverse (13403214), we get a palindrome (54633645).

The spelling of 41230431 in words is "forty-one million, two hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 783 957 2871 4787 8613 14361 43083 52657 129249 138823 157971 416469 473913 1249407 1421739 1527053 3748221 4581159 13743477 41230431