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643678112 = 25721167557
BaseRepresentation
bin100110010111011…
…011111110100000
31122212012020101002
4212113123332200
52304240144422
6143512131132
721644113400
oct4627337640
91585166332
10643678112
11300380990
1215b696aa8
13a347c62c
14616b6800
153b799692
hex265dbfa0

643678112 has 144 divisors (see below), whose sum is σ = 1635082848. Its totient is φ = 246597120.

The previous prime is 643678109. The next prime is 643678121. The reversal of 643678112 is 211876346.

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 23 ways as a sum of consecutive naturals, for example, 1155338 + ... + 1155894.

It is an arithmetic number, because the mean of its divisors is an integer number (11354742).

Almost surely, 2643678112 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 643678112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817541424).

643678112 is an abundant number, since it is smaller than the sum of its proper divisors (991404736).

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

643678112 is a wasteful number, since it uses less digits than its factorization.

643678112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 644 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 643678112 is about 25370.8122061553. The cubic root of 643678112 is about 863.4216093486.

It can be divided in two parts, 6436 and 78112, that added together give a palindrome (84548).

The spelling of 643678112 in words is "six hundred forty-three million, six hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 67 77 88 98 112 134 154 176 196 224 268 308 352 392 469 536 539 557 616 737 784 938 1072 1078 1114 1232 1474 1568 1876 2144 2156 2228 2464 2948 3283 3752 3899 4312 4456 5159 5896 6127 6566 7504 7798 8624 8912 10318 11792 12254 13132 15008 15596 17248 17824 20636 23584 24508 26264 27293 31192 36113 37319 41272 42889 49016 52528 54586 62384 72226 74638 82544 85778 98032 105056 109172 124768 144452 149276 165088 171556 196064 218344 261233 288904 298552 300223 343112 410509 436688 522466 577808 597104 600446 686224 821018 873376 1044932 1155616 1194208 1200892 1372448 1642036 1828631 2089864 2401784 2873563 3284072 3657262 4179728 4803568 5747126 6568144 7314524 8359456 9607136 11494252 13136288 14629048 20114941 22988504 29258096 40229882 45977008 58516192 80459764 91954016 160919528 321839056 643678112