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1893896082 = 23213311311993
BaseRepresentation
bin111000011100010…
…1000111110010010
311212222200220000100
41300320220332102
512334314133312
6511532433230
764634564631
oct16070507622
94788626010
101893896082
11892067181
1244a318816
132424a7490
1413d759518
15b14045dc
hex70e28f92

1893896082 has 96 divisors (see below), whose sum is σ = 4598770176. Its totient is φ = 559353600.

The previous prime is 1893896057. The next prime is 1893896087. The reversal of 1893896082 is 2806983981.

It is a happy number.

1893896082 is a `hidden beast` number, since 189 + 389 + 6 + 0 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (1893896087) 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, 949278 + ... + 951270.

It is an arithmetic number, because the mean of its divisors is an integer number (47903856).

Almost surely, 21893896082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1893896082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299385088).

1893896082 is an abundant number, since it is smaller than the sum of its proper divisors (2704874094).

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

1893896082 is a wasteful number, since it uses less digits than its factorization.

1893896082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 1893896082 is about 43518.9163697811. The cubic root of 1893896082 is about 1237.2345764390.

It can be divided in two parts, 18 and 93896082, that added together give a square (93896100 = 96902).

The spelling of 1893896082 in words is "one billion, eight hundred ninety-three million, eight hundred ninety-six thousand, eighty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 131 186 234 262 279 393 403 558 786 806 1179 1209 1703 1993 2358 2418 3406 3627 3986 4061 5109 5979 7254 8122 10218 11958 12183 15327 17937 24366 25909 30654 35874 36549 51818 52793 61783 73098 77727 105586 123566 155454 158379 185349 233181 261083 316758 370698 466362 475137 522166 556047 783249 803179 950274 1112094 1566498 1606358 2349747 2409537 3394079 4699494 4819074 6788158 7228611 8093573 10182237 14457222 16187146 20364474 24280719 30546711 48561438 61093422 72842157 105216449 145684314 210432898 315649347 631298694 946948041 1893896082