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42793209 = 3228116921
BaseRepresentation
bin1010001100111…
…1100011111001
32222112010020200
42203033203321
541423340314
64125112413
71026510354
oct243174371
988463220
1042793209
1122179198
12123b8709
138b34034
14597d29b
153b54709
hex28cf8f9

42793209 has 12 divisors (see below), whose sum is σ = 62036052. Its totient is φ = 28425600.

The previous prime is 42793193. The next prime is 42793211. The reversal of 42793209 is 90239724.

It can be written as a sum of positive squares in 2 ways, for example, as 29811600 + 12981609 = 5460^2 + 3603^2 .

It is not a de Polignac number, because 42793209 - 24 = 42793193 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42793229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5932 + ... + 10989.

It is an arithmetic number, because the mean of its divisors is an integer number (5169671).

Almost surely, 242793209 is an apocalyptic number.

It is an amenable number.

42793209 is a deficient number, since it is larger than the sum of its proper divisors (19242843).

42793209 is a wasteful number, since it uses less digits than its factorization.

42793209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17208 (or 17205 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 42793209 is about 6541.6518556096. The cubic root of 42793209 is about 349.7772977822. Note that the first 3 decimals are identical.

It can be divided in two parts, 427 and 93209, that added together give a square (93636 = 3062).

The spelling of 42793209 in words is "forty-two million, seven hundred ninety-three thousand, two hundred nine".

Divisors: 1 3 9 281 843 2529 16921 50763 152289 4754801 14264403 42793209