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42775712 = 257434441
BaseRepresentation
bin1010001100101…
…1010010100000
32222111020020122
42203023102200
541422310322
64124455412
71026405350
oct243132240
988436218
1042775712
1122167031
12123aa568
138b29095
145976b60
153b4e442
hex28cb4a0

42775712 has 48 divisors (see below), whose sum is σ = 98505792. Its totient is φ = 17902080.

The previous prime is 42775709. The next prime is 42775727. The reversal of 42775712 is 21757724.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7412 + ... + 11852.

It is an arithmetic number, because the mean of its divisors is an integer number (2052204).

Almost surely, 242775712 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 42775712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49252896).

42775712 is an abundant number, since it is smaller than the sum of its proper divisors (55730080).

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

42775712 is a wasteful number, since it uses less digits than its factorization.

42775712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501 (or 4493 counting only the distinct ones).

The product of its digits is 27440, while the sum is 35.

The square root of 42775712 is about 6540.3143655332. The cubic root of 42775712 is about 349.7296197524.

The spelling of 42775712 in words is "forty-two million, seven hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4441 4816 8882 9632 17764 31087 35528 62174 71056 124348 142112 190963 248696 381926 497392 763852 994784 1336741 1527704 2673482 3055408 5346964 6110816 10693928 21387856 42775712