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640143882 = 232737612251
BaseRepresentation
bin100110001001111…
…101001000001010
31122121112200022200
4212021331020022
52302334101012
6143304301030
721602063460
oct4611751012
91577480280
10640143882
112a9387634
1215a471776
13a2812a81
1461036830
153b2ec3dc
hex2627d20a

640143882 has 96 divisors (see below), whose sum is σ = 1655382144. Its totient is φ = 174960000.

The previous prime is 640143853. The next prime is 640143887. The reversal of 640143882 is 288341046.

640143882 is a `hidden beast` number, since 640 + 1 + 4 + 3 + 8 + 8 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (640143887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283257 + ... + 285507.

It is an arithmetic number, because the mean of its divisors is an integer number (17243564).

Almost surely, 2640143882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640143882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827691072).

640143882 is an abundant number, since it is smaller than the sum of its proper divisors (1015238262).

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

640143882 is a wasteful number, since it uses less digits than its factorization.

640143882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 640143882 is about 25301.0648392513. The cubic root of 640143882 is about 861.8384512513.

It can be divided in two parts, 64014 and 3882, that added together give a triangular number (67896 = T368).

The spelling of 640143882 in words is "six hundred forty million, one hundred forty-three thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 61 63 74 111 122 126 183 222 259 333 366 427 518 549 666 777 854 1098 1281 1554 2251 2257 2331 2562 3843 4502 4514 4662 6753 6771 7686 13506 13542 15757 15799 20259 20313 31514 31598 40518 40626 47271 47397 83287 94542 94794 137311 141813 142191 166574 249861 274622 283626 284382 411933 499722 583009 749583 823866 961177 1166018 1235799 1499166 1749027 1922354 2471598 2883531 3498054 5080507 5247081 5767062 8650593 10161014 10494162 15241521 17301186 30483042 35563549 45724563 71127098 91449126 106690647 213381294 320071941 640143882