Search a number
-
+
46540431 = 3272332119
BaseRepresentation
bin1011000110001…
…0011010001111
310020120111110200
42301202122033
543403243211
64341304543
71103405250
oct261423217
9106514420
1046540431
11242a8573
1213705153
139846822
146276b27
154144b56
hex2c6268f

46540431 has 24 divisors (see below), whose sum is σ = 80171520. Its totient is φ = 25437456.

The previous prime is 46540427. The next prime is 46540433. The reversal of 46540431 is 13404564.

46540431 is a `hidden beast` number, since 4 + 654 + 0 + 4 + 3 + 1 = 666.

46540431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46540431 - 22 = 46540427 is a prime.

It is a super-2 number, since 2×465404312 = 4332023435331522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46540395 and 46540404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46540433) 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 23 ways as a sum of consecutive naturals, for example, 14611 + ... + 17508.

It is an arithmetic number, because the mean of its divisors is an integer number (3340480).

Almost surely, 246540431 is an apocalyptic number.

46540431 is a deficient number, since it is larger than the sum of its proper divisors (33631089).

46540431 is a wasteful number, since it uses less digits than its factorization.

46540431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32155 (or 32152 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 46540431 is about 6822.0547491207. The cubic root of 46540431 is about 359.7025088613.

Adding to 46540431 its reverse (13404564), we get a palindrome (59944995).

It can be divided in two parts, 46540 and 431, that added together give a triangular number (46971 = T306).

The spelling of 46540431 in words is "forty-six million, five hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 32119 96357 224833 289071 674499 738737 2023497 2216211 5171159 6648633 15513477 46540431