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638805204 = 2238101241
BaseRepresentation
bin100110000100110…
…110010011010100
31122112000200000000
4212010312103110
52302013231304
6143215451300
721554516562
oct4604662324
91575020000
10638805204
112a8652894
12159b26b30
13a246465b
1460ba8a32
153b135939
hex261364d4

638805204 has 108 divisors (see below), whose sum is σ = 1700406708. Its totient is φ = 209952000.

The previous prime is 638805199. The next prime is 638805221. The reversal of 638805204 is 402508836.

It can be written as a sum of positive squares in 2 ways, for example, as 559417104 + 79388100 = 23652^2 + 8910^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2650524 + ... + 2650764.

Almost surely, 2638805204 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 638805204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850203354).

638805204 is an abundant number, since it is smaller than the sum of its proper divisors (1061601504).

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

638805204 is a wasteful number, since it uses less digits than its factorization.

638805204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 638805204 is about 25274.5960205104. The cubic root of 638805204 is about 861.2372690429.

The spelling of 638805204 in words is "six hundred thirty-eight million, eight hundred five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 241 243 303 324 404 482 486 606 723 729 909 964 972 1212 1446 1458 1818 2169 2187 2727 2892 2916 3636 4338 4374 5454 6507 6561 8181 8676 8748 10908 13014 13122 16362 19521 24341 24543 26028 26244 32724 39042 48682 49086 58563 73023 73629 78084 97364 98172 117126 146046 147258 175689 219069 220887 234252 292092 294516 351378 438138 441774 527067 657207 662661 702756 876276 883548 1054134 1314414 1325322 1581201 1971621 2108268 2628828 2650644 3162402 3943242 5914863 6324804 7886484 11829726 17744589 23659452 35489178 53233767 70978356 106467534 159701301 212935068 319402602 638805204