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441685431 = 32111572181
BaseRepresentation
bin11010010100111…
…001010110110111
31010210002221111200
4122110321112313
51401032413211
6111454503543
713642156425
oct3224712667
91123087450
10441685431
11207357890
12103b04bb3
1370678335
1442936115
1528b99b56
hex1a5395b7

441685431 has 36 divisors (see below), whose sum is σ = 704320344. Its totient is φ = 264513600.

The previous prime is 441685429. The next prime is 441685451. The reversal of 441685431 is 134586144.

It is not a de Polignac number, because 441685431 - 21 = 441685429 is a prime.

It is a super-2 number, since 2×4416854312 = 390172039915311522, which contains 22 as substring.

Its product of digits (46080) is a multiple of the sum of its prime factors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441685451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2440161 + ... + 2440341.

It is an arithmetic number, because the mean of its divisors is an integer number (19564454).

Almost surely, 2441685431 is an apocalyptic number.

441685431 is a deficient number, since it is larger than the sum of its proper divisors (262634913).

441685431 is a wasteful number, since it uses less digits than its factorization.

441685431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 352 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 441685431 is about 21016.3134493184. The cubic root of 441685431 is about 761.5604084066.

The spelling of 441685431 in words is "four hundred forty-one million, six hundred eighty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 157 181 471 543 1413 1629 1727 1991 5181 5973 15543 17919 24649 28417 73947 85251 221841 255753 271139 312587 813417 937761 2440251 2813283 4461469 13384407 40153221 49076159 147228477 441685431