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1894083906 = 23112131011987
BaseRepresentation
bin111000011100101…
…0110110101000010
311220000001102122210
41300321112311002
512334341141111
6511540442550
764636306341
oct16071266502
94800042583
101894083906
11892185300
1244a3a9456
13242541b10
1413d7a7b58
15b14400a6
hex70e56d42

1894083906 has 96 divisors (see below), whose sum is σ = 4530826944. Its totient is φ = 524304000.

The previous prime is 1894083871. The next prime is 1894083907. The reversal of 1894083906 is 6093804981.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1894083907) 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, 952245 + ... + 954231.

It is an arithmetic number, because the mean of its divisors is an integer number (47196114).

Almost surely, 21894083906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1894083906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265413472).

1894083906 is an abundant number, since it is smaller than the sum of its proper divisors (2636743038).

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

1894083906 is a wasteful number, since it uses less digits than its factorization.

1894083906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1894083906 is about 43521.0742744248. The cubic root of 1894083906 is about 1237.2754753154.

The spelling of 1894083906 in words is "one billion, eight hundred ninety-four million, eighty-three thousand, nine hundred six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 121 143 202 242 286 303 363 429 606 726 858 1111 1313 1573 1987 2222 2626 3146 3333 3939 3974 4719 5961 6666 7878 9438 11922 12221 14443 21857 24442 25831 28886 36663 43329 43714 51662 65571 73326 77493 86658 131142 154986 158873 200687 240427 284141 317746 401374 476619 480854 568282 602061 721281 852423 953238 1204122 1442562 1704846 2207557 2608931 3125551 4415114 5217862 6251102 6622671 7826793 9376653 13245342 15653586 18753306 24283127 28698241 48566254 57396482 72849381 86094723 145698762 172189446 315680651 631361302 947041953 1894083906