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639380352 = 27313263487
BaseRepresentation
bin100110000111000…
…010101110000000
31122120002212221210
4212013002232000
52302140132402
6143240050120
721562433442
oct4607025600
91576085853
10639380352
112a8a05a16
1215a163940
13a2606390
1460cb8492
153b1eb06c
hex261c2b80

639380352 has 128 divisors (see below), whose sum is σ = 1839720960. Its totient is φ = 195581952.

The previous prime is 639380341. The next prime is 639380359. The reversal of 639380352 is 253083936.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 639380352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (639380359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1312653 + ... + 1313139.

It is an arithmetic number, because the mean of its divisors is an integer number (14372820).

Almost surely, 2639380352 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 639380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919860480).

639380352 is an abundant number, since it is smaller than the sum of its proper divisors (1200340608).

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

639380352 is a wasteful number, since it uses less digits than its factorization.

639380352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 639380352 is about 25285.9714466342. The cubic root of 639380352 is about 861.4956630492.

The spelling of 639380352 in words is "six hundred thirty-nine million, three hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 263 312 384 416 487 526 624 789 832 974 1052 1248 1461 1578 1664 1948 2104 2496 2922 3156 3419 3896 4208 4992 5844 6312 6331 6838 7792 8416 10257 11688 12624 12662 13676 15584 16832 18993 20514 23376 25248 25324 27352 31168 33664 37986 41028 46752 50496 50648 54704 62336 75972 82056 93504 100992 101296 109408 128081 151944 164112 187008 202592 218816 256162 303888 328224 384243 405184 437632 512324 607776 656448 768486 810368 1024648 1215552 1312896 1536972 1665053 2049296 2431104 3073944 3330106 4098592 4995159 6147888 6660212 8197184 9990318 12295776 13320424 16394368 19980636 24591552 26640848 39961272 49183104 53281696 79922544 106563392 159845088 213126784 319690176 639380352