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3092193936 = 2432139717029
BaseRepresentation
bin1011100001001111…
…0010001010010000
321222111111201122100
42320103302022100
522313100201221
61230500240400
7136425133446
oct27023621220
97874451570
103092193936
111347510087
127236a0100
133a3823c70
14214964b96
15131705926
hexb84f2290

3092193936 has 120 divisors (see below), whose sum is σ = 9416159480. Its totient is φ = 941580288.

The previous prime is 3092193911. The next prime is 3092193947. The reversal of 3092193936 is 6393912903.

It can be written as a sum of positive squares in 4 ways, for example, as 329640336 + 2762553600 = 18156^2 + 52560^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3092193891 and 3092193900.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 173070 + ... + 190098.

Almost surely, 23092193936 is an apocalyptic number.

3092193936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3092193936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4708079740).

3092193936 is an abundant number, since it is smaller than the sum of its proper divisors (6323965544).

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

3092193936 is a wasteful number, since it uses less digits than its factorization.

3092193936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17153 (or 17144 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The square root of 3092193936 is about 55607.4989187609. The cubic root of 3092193936 is about 1456.8748340122.

The spelling of 3092193936 in words is "three billion, ninety-two million, one hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 97 104 117 144 156 194 208 234 291 312 388 468 582 624 776 873 936 1164 1261 1552 1746 1872 2328 2522 3492 3783 4656 5044 6984 7566 10088 11349 13968 15132 17029 20176 22698 30264 34058 45396 51087 60528 68116 90792 102174 136232 153261 181584 204348 221377 272464 306522 408696 442754 613044 664131 817392 885508 1226088 1328262 1651813 1771016 1992393 2452176 2656524 3303626 3542032 3984786 4955439 5313048 6607252 7969572 9910878 10626096 13214504 14866317 15939144 19821756 21473569 26429008 29732634 31878288 39643512 42947138 59465268 64420707 79287024 85894276 118930536 128841414 171788552 193262121 237861072 257682828 343577104 386524242 515365656 773048484 1030731312 1546096968 3092193936