Search a number
-
+
3805902864 = 2432532972
BaseRepresentation
bin1110001011011001…
…0111100000010000
3100211020110220020100
43202312113200100
530243302342424
61425353412400
7163212432501
oct34266274020
910736426210
103805902864
111683373175
128a270a100
1348865313a
1428166aba8
151741d4dc9
hexe2d97810

3805902864 has 135 divisors (see below), whose sum is σ = 10969072023. Its totient is φ = 1231865856.

The previous prime is 3805902809. The next prime is 3805902869. The reversal of 3805902864 is 4682095083.

The square root of 3805902864 is 61692.

It is a perfect power (a square), and thus also a powerful number.

3805902864 is a `hidden beast` number, since 38 + 0 + 590 + 28 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118984464 + 3686918400 = 10908^2 + 60720^2 .

It is a super-2 number, since 2×38059028642 = 28969793220406804992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3805902869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39236064 + ... + 39236160.

Almost surely, 23805902864 is an apocalyptic number.

3805902864 is the 61692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3805902864

3805902864 is an abundant number, since it is smaller than the sum of its proper divisors (7163169159).

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

3805902864 is an equidigital number, since it uses as much as digits as its factorization.

3805902864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The cubic root of 3805902864 is about 1561.2983471278.

The spelling of 3805902864 in words is "three billion, eight hundred five million, nine hundred two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 97 106 144 159 194 212 291 318 388 424 477 582 636 776 848 873 954 1164 1272 1552 1746 1908 2328 2544 2809 3492 3816 4656 5141 5618 6984 7632 8427 9409 10282 11236 13968 15423 16854 18818 20564 22472 25281 28227 30846 33708 37636 41128 44944 46269 50562 56454 61692 67416 75272 82256 84681 92538 101124 112908 123384 134832 150544 169362 185076 202248 225816 246768 272473 338724 370152 404496 451632 498677 544946 677448 740304 817419 997354 1089892 1354896 1496031 1634838 1994708 2179784 2452257 2992062 3269676 3989416 4359568 4488093 4904514 5984124 6539352 7978832 8976186 9809028 11968248 13078704 17952372 19618056 23936496 26429881 35904744 39236112 52859762 71809488 79289643 105719524 158579286 211439048 237868929 317158572 422878096 475737858 634317144 951475716 1268634288 1902951432 3805902864