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42853832 = 2372109321
BaseRepresentation
bin1010001101111…
…0010111001000
32222122012101222
42203132113020
541432310312
64130301212
71030152200
oct243362710
988565358
1042853832
112220a79a
1212427808
138b557c8
145997400
153b67672
hex28de5c8

42853832 has 24 divisors (see below), whose sum is σ = 93470310. Its totient is φ = 18365760.

The previous prime is 42853831. The next prime is 42853849. The reversal of 42853832 is 23835824.

42853832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37773316 + 5080516 = 6146^2 + 2254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42853792 and 42853801.

It is not an unprimeable number, because it can be changed into a prime (42853831) 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 5 ways as a sum of consecutive naturals, for example, 54269 + ... + 55052.

Almost surely, 242853832 is an apocalyptic number.

It is an amenable number.

42853832 is an abundant number, since it is smaller than the sum of its proper divisors (50616478).

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

42853832 is a wasteful number, since it uses less digits than its factorization.

42853832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109341 (or 109330 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 42853832 is about 6546.2838313046. The cubic root of 42853832 is about 349.9423905181.

The spelling of 42853832 in words is "forty-two million, eight hundred fifty-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 109321 218642 437284 765247 874568 1530494 3060988 5356729 6121976 10713458 21426916 42853832