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645140412 = 2232717413673
BaseRepresentation
bin100110011101000…
…000111110111100
31122221221112021100
4212131000332330
52310123443122
6144003333100
721662413560
oct4635007674
91587845240
10645140412
1130118a5a4
12160081190
13a38720b7
14619776a0
153b987aac
hex26740fbc

645140412 has 144 divisors (see below), whose sum is σ = 2022052032. Its totient is φ = 169205760.

The previous prime is 645140407. The next prime is 645140413. The reversal of 645140412 is 214041546.

645140412 is a `hidden beast` number, since 645 + 1 + 4 + 0 + 4 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645140413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173808 + ... + 177480.

It is an arithmetic number, because the mean of its divisors is an integer number (14042028).

Almost surely, 2645140412 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 645140412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011026016).

645140412 is an abundant number, since it is smaller than the sum of its proper divisors (1376911620).

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

645140412 is a wasteful number, since it uses less digits than its factorization.

645140412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 645140412 is about 25399.6144065220. The cubic root of 645140412 is about 864.0749517025.

Adding to 645140412 its reverse (214041546), we get a palindrome (859181958).

The spelling of 645140412 in words is "six hundred forty-five million, one hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 41 42 51 63 68 82 84 102 119 123 126 153 164 204 238 246 252 287 306 357 369 476 492 574 612 697 714 738 861 1071 1148 1394 1428 1476 1722 2091 2142 2583 2788 3444 3673 4182 4284 4879 5166 6273 7346 8364 9758 10332 11019 12546 14637 14692 19516 22038 25092 25711 29274 33057 43911 44076 51422 58548 62441 66114 77133 87822 102844 124882 132228 150593 154266 175644 187323 231399 249764 301186 308532 374646 437087 451779 462798 561969 602372 749292 874174 903558 925596 1054151 1123938 1311261 1355337 1748348 1807116 2108302 2247876 2560081 2622522 2710674 3162453 3933783 4216604 5120162 5245044 5421348 6324906 7680243 7867566 9487359 10240324 12649812 15360486 15735132 17920567 18974718 23040729 30720972 35841134 37949436 46081458 53761701 71682268 92162916 107523402 161285103 215046804 322570206 645140412