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42844768 = 252322531
BaseRepresentation
bin1010001101110…
…0001001100000
32222121201222021
42203130021200
541432013033
64130151224
71030113601
oct243341140
988551867
1042844768
11222039aa
1212422514
138b51645
145993da8
153b64b2d
hex28dc260

42844768 has 36 divisors (see below), whose sum is σ = 88212348. Its totient is φ = 20482880.

The previous prime is 42844757. The next prime is 42844771. The reversal of 42844768 is 86744824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15663 + ... + 18193.

It is an arithmetic number, because the mean of its divisors is an integer number (2450343).

Almost surely, 242844768 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 42844768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44106174).

42844768 is an abundant number, since it is smaller than the sum of its proper divisors (45367580).

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

42844768 is a wasteful number, since it uses less digits than its factorization.

42844768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2556 counting only the distinct ones).

The product of its digits is 344064, while the sum is 43.

The square root of 42844768 is about 6545.5914935168. The cubic root of 42844768 is about 349.9177167115.

The spelling of 42844768 in words is "forty-two million, eight hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 2531 4232 5062 8464 10124 16928 20248 40496 58213 80992 116426 232852 465704 931408 1338899 1862816 2677798 5355596 10711192 21422384 42844768