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42983985 = 35111913711
BaseRepresentation
bin1010001111111…
…0001000110001
32222212210221110
42203332020301
542000441420
64133143533
71031233512
oct243761061
988783843
1042983985
1122299560
121248aba9
138b9cb15
1459cca09
153b90ee0
hex28fe231

42983985 has 32 divisors (see below), whose sum is σ = 78981120. Its totient is φ = 19742400.

The previous prime is 42983981. The next prime is 42983989. The reversal of 42983985 is 58938924.

42983985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42983981) and next prime (42983989).

It is not a de Polignac number, because 42983985 - 22 = 42983981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42983981) 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 31 ways as a sum of consecutive naturals, for example, 3721 + ... + 9990.

It is an arithmetic number, because the mean of its divisors is an integer number (2468160).

Almost surely, 242983985 is an apocalyptic number.

It is an amenable number.

42983985 is a deficient number, since it is larger than the sum of its proper divisors (35997135).

42983985 is a wasteful number, since it uses less digits than its factorization.

42983985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13749.

The product of its digits is 622080, while the sum is 48.

The square root of 42983985 is about 6556.2172782787. The cubic root of 42983985 is about 350.2963069015.

It can be divided in two parts, 429839 and 85, that added together give a palindrome (429924).

The spelling of 42983985 in words is "forty-two million, nine hundred eighty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 11 15 19 33 55 57 95 165 209 285 627 1045 3135 13711 41133 68555 150821 205665 260509 452463 754105 781527 1302545 2262315 2865599 3907635 8596797 14327995 42983985