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42853468 = 2275367431
BaseRepresentation
bin1010001101111…
…0010001011100
32222122011220111
42203132101130
541432302333
64130255404
71030151140
oct243362134
988564814
1042853468
112220a499
1212427564
138b555a8
145997220
153b674cd
hex28de45c

42853468 has 48 divisors (see below), whose sum is σ = 88833024. Its totient is φ = 17709120.

The previous prime is 42853451. The next prime is 42853477. The reversal of 42853468 is 86435824.

42853468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42853468.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 99213 + ... + 99643.

It is an arithmetic number, because the mean of its divisors is an integer number (1850688).

Almost surely, 242853468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42853468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44416512).

42853468 is an abundant number, since it is smaller than the sum of its proper divisors (45979556).

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

42853468 is a wasteful number, since it uses less digits than its factorization.

42853468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 560 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The square root of 42853468 is about 6546.2560292124. The cubic root of 42853468 is about 349.9413997129.

The spelling of 42853468 in words is "forty-two million, eight hundred fifty-three thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 53 67 106 134 212 268 371 431 469 742 862 938 1484 1724 1876 3017 3551 6034 7102 12068 14204 22843 24857 28877 45686 49714 57754 91372 99428 115508 159901 202139 319802 404278 639604 808556 1530481 3060962 6121924 10713367 21426734 42853468