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438287668 = 2271319127499
BaseRepresentation
bin11010000111111…
…011110100110100
31010112201022122121
4122013323310310
51344200201133
6111254005324
713601245420
oct3207736464
91115638577
10438287668
11205447015
12102946844
136ca58920
14422cdb80
152872802d
hex1a1fbd34

438287668 has 96 divisors (see below), whose sum is σ = 1003520000. Its totient is φ = 162642816.

The previous prime is 438287653. The next prime is 438287771. The reversal of 438287668 is 866782834.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 31 ways as a sum of consecutive naturals, for example, 878083 + ... + 878581.

Almost surely, 2438287668 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 438287668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501760000).

438287668 is an abundant number, since it is smaller than the sum of its proper divisors (565232332).

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

438287668 is a wasteful number, since it uses less digits than its factorization.

438287668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 52.

The square root of 438287668 is about 20935.3210627399. The cubic root of 438287668 is about 759.6025553491.

The spelling of 438287668 in words is "four hundred thirty-eight million, two hundred eighty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 127 133 182 247 254 266 364 494 499 508 532 889 988 998 1651 1729 1778 1996 2413 3302 3458 3493 3556 4826 6487 6604 6916 6986 9481 9652 11557 12974 13972 16891 18962 23114 25948 31369 33782 37924 45409 46228 62738 63373 66367 67564 90818 123253 125476 126746 132734 181636 219583 246506 253492 265468 439166 443611 493012 823849 862771 878332 887222 1204087 1647698 1725542 1774444 2408174 3295396 3451084 4816348 5766943 8428609 11533886 15653131 16857218 23067772 31306262 33714436 62612524 109571917 219143834 438287668