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42638343 = 3112235107
BaseRepresentation
bin1010001010100…
…1110000000111
32222020020210220
42202221300013
541403411333
64121515423
71025264016
oct242516007
988206726
1042638343
1122082900
1212342b73
138aab6b7
14593ca7d
153b238b3
hex28a9c07

42638343 has 24 divisors (see below), whose sum is σ = 65218944. Its totient is φ = 24713040.

The previous prime is 42638339. The next prime is 42638359. The reversal of 42638343 is 34383624.

It is not a de Polignac number, because 42638343 - 22 = 42638339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42638143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5796 + ... + 10902.

It is an arithmetic number, because the mean of its divisors is an integer number (2717456).

Almost surely, 242638343 is an apocalyptic number.

42638343 is a deficient number, since it is larger than the sum of its proper divisors (22580601).

42638343 is a wasteful number, since it uses less digits than its factorization.

42638343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5144 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 42638343 is about 6529.8042083971. The cubic root of 42638343 is about 349.3548468976.

It can be divided in two parts, 426383 and 43, that added together give a triangular number (426426 = T923).

The spelling of 42638343 in words is "forty-two million, six hundred thirty-eight thousand, three hundred forty-three".

Divisors: 1 3 11 23 33 69 121 253 363 759 2783 5107 8349 15321 56177 117461 168531 352383 617947 1292071 1853841 3876213 14212781 42638343