Search a number
-
+
196259856 = 24313367857
BaseRepresentation
bin10111011001010…
…11000000010000
3111200022000220120
423230223000100
5400220303411
631250310240
74602116112
oct1354530020
9450260816
10196259856
11a0868a31
1255888380
1331877ac0
141c0cb3b2
151236b106
hexbb2b010

196259856 has 80 divisors (see below), whose sum is σ = 548131584. Its totient is φ = 60152832.

The previous prime is 196259839. The next prime is 196259879. The reversal of 196259856 is 658952691.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 196259799 and 196259808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228580 + ... + 229436.

Almost surely, 2196259856 is an apocalyptic number.

196259856 is a gapful number since it is divisible by the number (16) 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 196259856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274065792).

196259856 is an abundant number, since it is smaller than the sum of its proper divisors (351871728).

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

196259856 is a wasteful number, since it uses less digits than its factorization.

196259856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1242 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 51.

The square root of 196259856 is about 14009.2774974301. The cubic root of 196259856 is about 581.1351688059.

The spelling of 196259856 in words is "one hundred ninety-six million, two hundred fifty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 367 624 734 857 1101 1468 1714 2202 2571 2936 3428 4404 4771 5142 5872 6856 8808 9542 10284 11141 13712 14313 17616 19084 20568 22282 28626 33423 38168 41136 44564 57252 66846 76336 89128 114504 133692 178256 229008 267384 314519 534768 629038 943557 1258076 1887114 2516152 3774228 4088747 5032304 7548456 8177494 12266241 15096912 16354988 24532482 32709976 49064964 65419952 98129928 196259856