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42284046 = 237972107
BaseRepresentation
bin1010000101001…
…1010000001110
32221120020210210
42201103100032
541311042141
64110143250
71022260050
oct241232016
987506723
1042284046
11219606a2
12121b1b26
1389b635c
1458898d0
153aa3916
hex285340e

42284046 has 48 divisors (see below), whose sum is σ = 98568576. Its totient is φ = 11844864.

The previous prime is 42284017. The next prime is 42284057. The reversal of 42284046 is 64048224.

It is a super-2 number, since 2×422840462 = 3575881092260232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395125 + ... + 395231.

It is an arithmetic number, because the mean of its divisors is an integer number (2053512).

Almost surely, 242284046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42284046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49284288).

42284046 is an abundant number, since it is smaller than the sum of its proper divisors (56284530).

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

42284046 is a wasteful number, since it uses less digits than its factorization.

42284046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 42284046 is about 6502.6183956926. The cubic root of 42284046 is about 348.3845168461.

The spelling of 42284046 in words is "forty-two million, two hundred eighty-four thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 97 107 194 214 291 321 582 642 679 749 1358 1498 2037 2247 4074 4494 9409 10379 18818 20758 28227 31137 56454 62274 65863 72653 131726 145306 197589 217959 395178 435918 1006763 2013526 3020289 6040578 7047341 14094682 21142023 42284046