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863790096 = 2431338191
BaseRepresentation
bin110011011111000…
…110010000010000
32020012101002020210
4303133012100100
53232112240341
6221414004120
730256044321
oct6337062020
92205332223
10863790096
11403650314
12201346640
13109c59000
1482a12448
1550c77c16
hex337c6410

863790096 has 80 divisors (see below), whose sum is σ = 2417623040. Its totient is φ = 265749120.

The previous prime is 863790089. The next prime is 863790113. The reversal of 863790096 is 690097368.

It is a happy number.

It is a super-2 number, since 2×8637900962 = 1492266659895378432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 101361 + ... + 109551.

It is an arithmetic number, because the mean of its divisors is an integer number (30220288).

Almost surely, 2863790096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863790096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208811520).

863790096 is an abundant number, since it is smaller than the sum of its proper divisors (1553832944).

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

863790096 is a wasteful number, since it uses less digits than its factorization.

863790096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 863790096 is about 29390.3061569627. The cubic root of 863790096 is about 952.3634948806.

The spelling of 863790096 in words is "eight hundred sixty-three million, seven hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2197 2704 4056 4394 6591 8112 8191 8788 13182 16382 17576 24573 26364 32764 35152 49146 52728 65528 98292 105456 106483 131056 196584 212966 319449 393168 425932 638898 851864 1277796 1384279 1703728 2555592 2768558 4152837 5111184 5537116 8305674 11074232 16611348 17995627 22148464 33222696 35991254 53986881 66445392 71982508 107973762 143965016 215947524 287930032 431895048 863790096