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42263006 = 2231098429
BaseRepresentation
bin1010000100111…
…0000111011110
32221112011221112
42201032013132
541304404011
64105502022
71022141522
oct241160736
987464845
1042263006
1121946905
12121a1912
1389a98c6
145881d82
153a9c58b
hex284e1de

42263006 has 16 divisors (see below), whose sum is σ = 66765600. Its totient is φ = 20024928.

The previous prime is 42262949. The next prime is 42263009. The reversal of 42263006 is 60036224.

42263006 = 32492 + 32502 + ... + 32522.

42263006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42263009) 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 7 ways as a sum of consecutive naturals, for example, 800 + ... + 9228.

It is an arithmetic number, because the mean of its divisors is an integer number (4172850).

Almost surely, 242263006 is an apocalyptic number.

42263006 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

42263006 is a deficient number, since it is larger than the sum of its proper divisors (24502594).

42263006 is a wasteful number, since it uses less digits than its factorization.

42263006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8563.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 42263006 is about 6501.0003845562. Note that the first 3 decimals coincide. The cubic root of 42263006 is about 348.3267233674.

The spelling of 42263006 in words is "forty-two million, two hundred sixty-three thousand, six".

Divisors: 1 2 23 46 109 218 2507 5014 8429 16858 193867 387734 918761 1837522 21131503 42263006