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42024330 = 23254310859
BaseRepresentation
bin1010000001001…
…1110110001010
32221002001112200
42200103312022
541224234310
64100421030
71020125625
oct240236612
987061480
1042024330
11217a3557
12120a7776
13892508a
14581cdbc
153a519c0
hex2813d8a

42024330 has 48 divisors (see below), whose sum is σ = 111814560. Its totient is φ = 10944864.

The previous prime is 42024317. The next prime is 42024337. The reversal of 42024330 is 3342024.

42024330 is a `hidden beast` number, since 420 + 243 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42024337) 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, 1560 + ... + 9299.

It is an arithmetic number, because the mean of its divisors is an integer number (2329470).

Almost surely, 242024330 is an apocalyptic number.

42024330 is an abundant number, since it is smaller than the sum of its proper divisors (69790230).

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

42024330 is a wasteful number, since it uses less digits than its factorization.

42024330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10915 (or 10912 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42024330 is about 6482.6175268945. The cubic root of 42024330 is about 347.6697719514.

Adding to 42024330 its reverse (3342024), we get a palindrome (45366354).

The spelling of 42024330 in words is "forty-two million, twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 10859 21718 32577 54295 65154 97731 108590 162885 195462 325770 466937 488655 933874 977310 1400811 2334685 2801622 4202433 4669370 7004055 8404866 14008110 21012165 42024330