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42821000406 = 234463570901
BaseRepresentation
bin100111111000010101…
…001001110011010110
311002112021021012120000
4213320111021303112
51200144134003111
631401030352130
73044100332532
oct477025116326
9132467235500
1042821000406
111718437a438
1283707bb646
134065653382
1421030dabc2
1511a94bdc56
hex9f8549cd6

42821000406 has 40 divisors (see below), whose sum is σ = 96158165664. Its totient is φ = 14242813200.

The previous prime is 42821000381. The next prime is 42821000419. The reversal of 42821000406 is 60400012824.

42821000406 is a `hidden beast` number, since 42 + 8 + 210 + 0 + 0 + 406 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42821000406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 210445 + ... + 360456.

Almost surely, 242821000406 is an apocalyptic number.

42821000406 is an abundant number, since it is smaller than the sum of its proper divisors (53337165258).

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

42821000406 is a wasteful number, since it uses less digits than its factorization.

42821000406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571378 (or 571369 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 42821000406 in words is "forty-two billion, eight hundred twenty-one million, four hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 81 162 463 926 1389 2778 4167 8334 12501 25002 37503 75006 570901 1141802 1712703 3425406 5138109 10276218 15414327 30828654 46242981 92485962 264327163 528654326 792981489 1585962978 2378944467 4757888934 7136833401 14273666802 21410500203 42821000406