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42830235 = 335761743
BaseRepresentation
bin1010001101100…
…0100110011011
32222121000001000
42203120212123
541431031420
64130000043
71030023330
oct243304633
988530030
1042830235
11221a3a98
1212416023
138b47b46
14598c987
153b60690
hex28d899b

42830235 has 64 divisors (see below), whose sum is σ = 88565760. Its totient is φ = 19232640.

The previous prime is 42830233. The next prime is 42830239. The reversal of 42830235 is 53203824.

42830235 is a `hidden beast` number, since 428 + 3 + 0 + 235 = 666.

42830235 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42830235 - 21 = 42830233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42830199 and 42830208.

It is not an unprimeable number, because it can be changed into a prime (42830233) 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 63 ways as a sum of consecutive naturals, for example, 57274 + ... + 58016.

It is an arithmetic number, because the mean of its divisors is an integer number (1383840).

Almost surely, 242830235 is an apocalyptic number.

42830235 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42830235 is an abundant number, since it is smaller than the sum of its proper divisors (45735525).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42830235 is a wasteful number, since it uses less digits than its factorization.

42830235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42830235 is about 6544.4812628657. The cubic root of 42830235 is about 349.8781480586.

The spelling of 42830235 in words is "forty-two million, eight hundred thirty thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 61 63 105 135 183 189 305 315 427 549 743 915 945 1281 1647 2135 2229 2745 3715 3843 5201 6405 6687 8235 11145 11529 15603 19215 20061 26005 33435 45323 46809 57645 78015 100305 135969 140427 226615 234045 317261 407907 679845 702135 951783 1223721 1586305 2039535 2855349 4758915 6118605 8566047 14276745 42830235