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42812864 = 264347331
BaseRepresentation
bin1010001101010…
…0010111000000
32222120010012122
42203110113000
541430002424
64125343412
71026621563
oct243242700
988503178
1042812864
1122191a36
1212407b68
138b3cc73
1459864da
153b5a45e
hex28d45c0

42812864 has 56 divisors (see below), whose sum is σ = 89050368. Its totient is φ = 20401920.

The previous prime is 42812857. The next prime is 42812873. The reversal of 42812864 is 46821824.

It is a congruent number.

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, 129179 + ... + 129509.

Almost surely, 242812864 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 42812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44525184).

42812864 is an abundant number, since it is smaller than the sum of its proper divisors (46237504).

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

42812864 is a wasteful number, since it uses less digits than its factorization.

42812864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 42812864 is about 6543.1539795423. The cubic root of 42812864 is about 349.8308407054.

The spelling of 42812864 in words is "forty-two million, eight hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 47 64 86 94 172 188 331 344 376 662 688 752 1324 1376 1504 2021 2648 2752 3008 4042 5296 8084 10592 14233 15557 16168 21184 28466 31114 32336 56932 62228 64672 113864 124456 129344 227728 248912 455456 497824 668951 910912 995648 1337902 2675804 5351608 10703216 21406432 42812864