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640589904 = 24334159613
BaseRepresentation
bin100110001011101…
…010000001010000
31122122101100011000
4212023222001100
52302442334104
6143322022000
721605632023
oct4613520120
91578340130
10640589904
112a9661749
1215a647900
13a293aaa6
14611111ba
153b389639
hex262ea050

640589904 has 160 divisors (see below), whose sum is σ = 1918627200. Its totient is φ = 204456960.

The previous prime is 640589899. The next prime is 640589909. The reversal of 640589904 is 409985046.

It is a happy number.

640589904 is a `hidden beast` number, since 64 + 0 + 589 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (640589899) and next prime (640589909).

It is a self number, because there is not a number n which added to its sum of digits gives 640589904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640589909) 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 31 ways as a sum of consecutive naturals, for example, 1044702 + ... + 1045314.

It is an arithmetic number, because the mean of its divisors is an integer number (11991420).

Almost surely, 2640589904 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 640589904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959313600).

640589904 is an abundant number, since it is smaller than the sum of its proper divisors (1278037296).

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

640589904 is a wasteful number, since it uses less digits than its factorization.

640589904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 640589904 is about 25309.8775974915. The cubic root of 640589904 is about 862.0385675471.

The spelling of 640589904 in words is "six hundred forty million, five hundred eighty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 59 72 82 108 118 123 144 164 177 216 236 246 328 354 369 432 472 492 531 613 656 708 738 944 984 1062 1107 1226 1416 1476 1593 1839 1968 2124 2214 2419 2452 2832 2952 3186 3678 4248 4428 4838 4904 5517 5904 6372 7257 7356 8496 8856 9676 9808 11034 12744 14514 14712 16551 17712 19352 21771 22068 25133 25488 29028 29424 33102 36167 38704 43542 44136 50266 58056 65313 66204 72334 75399 87084 88272 100532 108501 116112 130626 132408 144668 150798 174168 201064 217002 226197 261252 264816 289336 301596 325503 348336 402128 434004 452394 522504 578672 603192 651006 678591 868008 904788 976509 1045008 1206384 1302012 1357182 1482847 1736016 1809576 1953018 2604024 2714364 2965694 3619152 3906036 4448541 5208048 5428728 5931388 7812072 8897082 10857456 11862776 13345623 15624144 17794164 23725552 26691246 35588328 40036869 53382492 71176656 80073738 106764984 160147476 213529968 320294952 640589904