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382600064 = 2771123529
BaseRepresentation
bin10110110011100…
…000001110000000
3222122221002121202
4112303200032000
51240421200224
6101544240332
712324022040
oct2663401600
9878832552
10382600064
11186a71100
12a81700a8
136135b792
1438b55720
15238c7eae
hex16ce0380

382600064 has 96 divisors (see below), whose sum is σ = 957759600. Its totient is φ = 149022720.

The previous prime is 382600063. The next prime is 382600067. The reversal of 382600064 is 460006283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382600063) 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 11 ways as a sum of consecutive naturals, for example, 106652 + ... + 110180.

Almost surely, 2382600064 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 382600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478879800).

382600064 is an abundant number, since it is smaller than the sum of its proper divisors (575159536).

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

382600064 is a wasteful number, since it uses less digits than its factorization.

382600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 382600064 is about 19560.1652344759. The cubic root of 382600064 is about 725.9638794395.

The spelling of 382600064 in words is "three hundred eighty-two million, six hundred thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 308 352 448 484 616 704 847 896 968 1232 1408 1694 1936 2464 3388 3529 3872 4928 6776 7058 7744 9856 13552 14116 15488 24703 27104 28232 38819 49406 54208 56464 77638 98812 108416 112928 155276 197624 225856 271733 310552 395248 427009 451712 543466 621104 790496 854018 1086932 1242208 1580992 1708036 2173864 2484416 2989063 3161984 3416072 4347728 4968832 5978126 6832144 8695456 11956252 13664288 17390912 23912504 27328576 34781824 47825008 54657152 95650016 191300032 382600064