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638306046 = 232727110193
BaseRepresentation
bin100110000010111…
…100011011111110
31122111002022021200
4212002330123332
52301401243141
6143201040330
721550340400
oct4602743376
91574068250
10638306046
112a8341864
121599260a6
13a231b3b1
1460ab8b70
153b087ab6
hex260bc6fe

638306046 has 72 divisors (see below), whose sum is σ = 1631610864. Its totient is φ = 179786880.

The previous prime is 638306029. The next prime is 638306101. The reversal of 638306046 is 640603836.

It is a self number, because there is not a number n which added to its sum of digits gives 638306046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57526 + ... + 67718.

It is an arithmetic number, because the mean of its divisors is an integer number (22661262).

Almost surely, 2638306046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638306046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815805432).

638306046 is an abundant number, since it is smaller than the sum of its proper divisors (993304818).

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

638306046 is a wasteful number, since it uses less digits than its factorization.

638306046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10286 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 638306046 is about 25264.7193928609. The cubic root of 638306046 is about 861.0128889603.

The spelling of 638306046 in words is "six hundred thirty-eight million, three hundred six thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 71 98 126 142 147 213 294 426 441 497 639 882 994 1278 1491 2982 3479 4473 6958 8946 10193 10437 20386 20874 30579 31311 61158 62622 71351 91737 142702 183474 214053 428106 499457 642159 723703 998914 1284318 1447406 1498371 2171109 2996742 4342218 4495113 5065921 6513327 8990226 10131842 13026654 15197763 30395526 35461447 45593289 70922894 91186578 106384341 212768682 319153023 638306046